Is there a straight forward way to estimate the implied vol of an OTM put using only the CBOE's SKEW index and the ATM implied vol? As an example, if I know that the ATM vol for 3/20/xxxx expiration is 35% and the SKEW index for that same expiration is 125 (or S = -2.5), what is the implied vol to use to price a 10% OTM put for that expiration (assuming the BS framework)?