Explanation:

- Deliberate, planned, purposeful: These words suggest an action taken with intention, thought, and design.

- Option 1: Approximated: This means to come close to an exact amount or opinion, often lacking precision, which does not fit the theme of intentionality.

- Option 2: Guessed: This involves forming an opinion or judgment without sufficient evidence, which is the opposite of purposeful or deliberate.

- Option 3: Created: This means to bring something into existence, which can be intentional but doesn’t specifically align with the given words.

- Option 4: Calculated: This implies something done with careful thought and planning, fitting well with the listed words.