Explanation:

- In the meanwhile: This suggests a time period or an activity occurring as a temporary measure until something else happens. It doesn't fit the sentence context.

- Somewhat: A term used to a lesser extent or degree but does not correctly relate to the given statement.

- Engagingly: Means in a way that attracts or holds interest. It doesn't add meaning to the sentence provided.

- In other words: This phrase is used to clarify or rephrase something in a simpler or alternate way. It fits the sentence by offering clarity on the problem being a wrong assumption about processes.