Find the sum of the values of x such that \cos ^{3} 3 x+\cos ^{3} 5 x=8 \cos ^{3} 4 x \cos ^{3} x, where x is measured in degrees and 100<x<200.
Find the sum of the values of x such that \cos ^{3} 3 x+\cos ^{3} 5 x=8 \cos ^{3} 4 x \cos ^{3} x, where x is measured in degrees and 100<x<200.