From the "Cartridges of the World" bullets sized at .365 are related to the following:
9.3 x 53mm Swiss
9.3 x 53Rmm Swiss
9.3 x 57 Mauser
360 Express (2 1/4)
360 Nitro (2 1/4)
9.3 x 62mm Mauser
9.3 x 64mm Brenneke
9.3 x 72Rmm Sauer
9.3 x 74Rmm