Problem: <image>Find $E H$ if $\triangle A B C \sim \triangle D E F, \overline{B G}$ is an altitude of $\triangle A B C, \overline{E H}$ is an altitude of $\triangle D E F, B G=3$, $B F=4, F C=2,$ and $C E=1$
Answer: \frac { 3 } { 2 }