for that very reason; that is exactly why
Emphasizes that a preceding statement is the precise reason for the following result. Often used in formal or literary contexts.
He spared no effort. That is exactly why he succeeded.
as expected; just as one thought; sure enough
Used when a result confirms what was previously thought or predicted. Slightly old-fashioned; modern Japanese often uses やはり or 思った通り.
As the forecast said, it started raining in the afternoon. Just as I thought, I brought an umbrella.