x : 0.75 = 240 : 90

asked by guest
on Nov 20, 2024 at 4:26 pm



You asked:

Solve \(x : 0.75=240 : 90\) for the variable \(x\).

MathBot Answer:

$$\begin{aligned}x &= 2\end{aligned}$$

First, simplify the equation.\[x : 0.75 = 240 : 90\]\[4 x : 3=960 : 360\]

Express both ratios as fractions. \[\frac{4 x}{3} = \frac{960}{360}\]

Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{4 x}{3} &= \frac{960}{360} \\ 1440 x &= 2880 \\ x &&= 2 \end{aligned}$$

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