Yes, Lenovo a369i does support use of Static IP as well as Proxy.
click on "+" symbol at the bottom to add a wifi network manuall.
enter the "SSID"(network name), then security type and password and click save.
Now in the network list, click and hold the network you just created in the last step and select modify.
Now scroll down and select "show advanced options".
Once the "show advanced options" is selected, Proxy Settings and Static IP settings can be entered. Enter the proxy/static ip settings and click on save.
You are done.
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