Solve 160/x=112/212.8

$$\frac { 160 } { x } = \frac { 112 } { 212.8 }$$

Solve for x

$$x=304$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$160=x\times \frac{112}{212.8}$$

Expand \frac{112}{212.8} by multiplying both numerator and the denominator by 10.

$$160=x\times \frac{1120}{2128}$$

Reduce the fraction \frac{1120}{2128} to lowest terms by extracting and canceling out 112.

$$160=x\times \frac{10}{19}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{10}{19}=160$$

Multiply both sides by \frac{19}{10}, the reciprocal of \frac{10}{19}.

$$x=160\times \frac{19}{10}$$

Express 160\times \frac{19}{10} as a single fraction.

$$x=\frac{160\times 19}{10}$$

Multiply 160 and 19 to get 3040.

$$x=\frac{3040}{10}$$

Divide 3040 by 10 to get 304.

$$x=304$$