$$270 = ( x + 43.2 ) \times \frac { 5 } { 18 } \times 10$$
$x=54$
$$270=\left(x+43.2\right)\times \frac{5\times 10}{18}$$
$$270=\left(x+43.2\right)\times \frac{50}{18}$$
$$270=\left(x+43.2\right)\times \frac{25}{9}$$
$$270=x\times \frac{25}{9}+43.2\times \frac{25}{9}$$
$$270=x\times \frac{25}{9}+\frac{216}{5}\times \frac{25}{9}$$
$$270=x\times \frac{25}{9}+\frac{216\times 25}{5\times 9}$$
$$270=x\times \frac{25}{9}+\frac{5400}{45}$$
$$270=x\times \frac{25}{9}+120$$
$$x\times \frac{25}{9}+120=270$$
$$x\times \frac{25}{9}=270-120$$
$$x\times \frac{25}{9}=150$$
$$x=150\times \frac{9}{25}$$
$$x=\frac{150\times 9}{25}$$
$$x=\frac{1350}{25}$$
$$x=54$$
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