We know that:

$P = \frac{360}{n}(100 - Y)$

Where $P$ is the quoted price, and $Y$ is the corresponding cash price per USD 100 of face value.

We can make $Y$ the subject of the formula so that:

$Y = 100 - \frac{Pn}{360} = 100 - \frac{5.5 \times 230}{360} = 96.4861$