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x=200\times \frac{2}{3}
Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.
x=\frac{200\times 2}{3}
Express 200\times \frac{2}{3} as a single fraction.
x=\frac{400}{3}
Multiply 200 and 2 to get 400.