You Are Given a Cylindrical Rod of Tungsten of 15 $\circ$

You are given a cylindrical rod of tungsten of 15.025 mm diameter and a plate of 1025 steel with a circular hole 15.000 mm diameter.Also given: the coefficient of linear expansion for tungsten is 4.5 *10^-6/ ^$\circ$ C and that for 1025 steel is 12.0 * 10^-6/ ^$\circ$ C.Assuming an initial temperature of 25 ^$\circ$ C,the common temperature to which both the rod and the plate must be heated for the rod to just fit into the hole is

A) 122.5 ^$\circ$ C
B) 167.8 ^$\circ$ C
C) 197.4 ^$\circ$ C
D) 201.2 ^$\circ$ C
E) 222.4 ^$\circ$ C