It's on a platey with a crook wire to the bilge pump.
When the pump is turned on the positive shorts through to the hull and joins up with radio case and goes through the negative wire to the negative link under the dash to the negative terminal of the battery as it's a good low resistance path. But, alas, the wires to and fro from the radio are teeny weeny tykes so the wire melts.
Bilges are not 3A fuses and sometimes they're on slow trip breakers on larger boats.
I remember a bloke not even putting fuses in bilges for some reason or another.
PS the radio is probably still okky dokky but needs a new wire.
PPS or it could be that the outer plastic covering on the aerial coax has a bare spot to expose the shield and rubs up against the positive bus somewhere. But that doesn't sound near as impressive
PPPS There's a lot of flaws in the first theory. What are they?