It is hard to visualize your setup because the masks weren't mentioned, but the 7150 can serve teh same function as a router. Presumably, you create the router-interface ve interfaces??? and on int ve 51 set an IP within the subnet, and on int ve 351 set an IP within the subnet.
Then presumably, you carried port 9 to the Layer-2 switch, but I presume you used a media converter??? because there are no 7150 units with SFP or SFP+ slots to connect a fiber traceiver from port 1/1/9. On the 7150, it is common place to place a fiber tranceiver into 1/3/x the way they are numbered.
None the less, the port you are sending to the Layer-2 switch needs to carry both VLANS using 802.1q, so under each VLAN you would set that as TAGGED..
vlan 52 name something by port
tagged e 1/1/9
router-interface ve 52
vlan 351 name something-different by port
tagged e 1/1/9
router interface ve 251
int ve 52
port-name default gateway for 10.x network
ip add 10.x.x.x/yy
int ve 351
port-name default gateway for 11.x network
ip add 11.x.x.x/yy
On your layer-2 switch, I am confused that you said, "NATIVE" because that usually refers to an untagged interface that is also tagged in another VLAN. In ICX terminology, this used to be referred to as a dual-mode port, which regardless of terminology carries untagged ethernet frames into a particular vlan. That said any particular interface can be untagged into only one vlan given the constraint the switch needs to know what VLAN to sort untagged frames it receives into (as well as transmit).
The reason your ping is likley working is that most likely your ICX 7150 is sourcing the ping from 11.x.x.x, which is on a directly-connected network, but this is just speculation being I cannot see your environment.
Regardless, to make this work, you will need some routing to occur between your 192.168.1.0/24 (presumably I am guessing at the mask) network.
vlan 192 name servers by port
untagged ethe 1/1/1
router-interface ve 192
int ve 192
port-name Default gateway for 192.168.1 network used by servers.
ip add 192.168.1.1/24
This assumes the server is directly connected to interface 1 on the 7150 and that you have the default-gateway defined on the server as 192.168.1.1, that the mask is 255.255.255.0, that the server sends traffic without an 802.1q tag on the frame... that your network is not more complex than diagramed.
Lastly, may I suggest for private use to stick with the RFC1918 IPs. 11's are Internet routable.
You want to variably subset your private network subnets from these larger subnets:
Hope this helps.