To solve the expression (296.2 - 2.7 \times 6.6 + \frac{6}{0.15}), we follow the order of operations (PEMDAS/BODMAS).

Calculate (2.7 \times 6.6):
[
2.7 \times 6.6 = 17.82
]

Calculate (\frac{6}{0.15}):
[
\frac{6}{0.15} = 40
]

Substitute these values back into the expression:
[
296.2 - 17.82 + 40
]

Perform the subtraction:
[
296.2 - 17.82 = 278.38
]

Finally, add (40):
[
278.38 + 40 = 318.38
]

The final result is:
[
\boxed{318.38}
]