\[\boxed{\mathbf{367}\mathbf{.}}\]
\[1)\ 90\ :\frac{2}{5} = 90 \cdot \frac{5}{2} = 45 \cdot 5 = 225\]
\[2)\ 90\ :\frac{3}{10} = 90 \cdot \frac{10}{3} = 30 \cdot 10 =\]
\[= 300\]
\[3)\ 90\ :\frac{5}{6} = 90 \cdot \frac{6}{5} = 18 \cdot 6 =\]
\[= 108\]