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Finding the Fourth Proportional to 290.89, 401.43 and 166.56

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Solution

The fourth proportional to 290.89, 401.43 and 166.56 is: 229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.89 : 401.43 = 166.56 : x
  2. Step 2: Convert to fraction form
    290.89/401.43 = 166.56/x
  3. Step 3: Cross multiply
    290.89x = 401.43 × 166.56
  4. Step 4: Simplify right side
    290.89x = 66,862.18
  5. Step 5: Solve for x
    x = 66,862.18/290.89
  6. Step 6: Final answer
    x = 229.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.