Calculate $x$ from a given ratio calculation with a known answer

Question

I have the below ratio calculation, and I need to find the value of $x$:

$ \dfrac{181.5 + 16.5x}{181.5 + 11x} = 1.251 $

Can I use this to find the value of $x$?

Let me know if I need to provide more info.

Cheers

Answer 1

Assuming you meant $(181.5+16.5X)/(181.5+11X)=1.251$, we have

$181.5+16.5X=1.251(181.5+11X)$;

$(16.5-1.251\times11)X=2.739X=181.5(0.251)$;

$X\approx 16.6325$.

Answer 2

Guide:

From $$\frac{181.5+16.5x}{181.5+11x}=1.251$$

Multiply both sides by $181.5+11x$, we have

$$181.5+16.5x = 1.251(181.5+11x)$$

Now, this is just a linear equation in $x$, try to solve it by isolating $x$.