From the base price level of $100$ in $1979,$ Saudi Arabian and U$.$S$.$ price levels in $2008$ stood at $370$ and $752,$ respectively. Assume the $1979$ $ per riyal exchange rate was $$0\mathrm{.}94$ per riyal. Suggestion: Using purchasing power parity, adjust the exchange rate to compensate for inflation. That is$,$ determine the relative rate of inflation between the United States and Saudi Arabia and multiply this times $ per riyal of $0\mathrm{.}94.$

What should the exchange rate be in $2008?$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.