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Finding the Fourth Proportional to 153.38, 229.56 and 138.42

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Solution

The fourth proportional to 153.38, 229.56 and 138.42 is: 207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 229.56 = 138.42 : x
  2. Step 2: Convert to fraction form
    153.38/229.56 = 138.42/x
  3. Step 3: Cross multiply
    153.38x = 229.56 × 138.42
  4. Step 4: Simplify right side
    153.38x = 31,775.70
  5. Step 5: Solve for x
    x = 31,775.70/153.38
  6. Step 6: Final answer
    x = 207.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.