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Finding the Fourth Proportional to 242.28, 363.31 and 88.17

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Solution

The fourth proportional to 242.28, 363.31 and 88.17 is: 132.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.28 : 363.31 = 88.17 : x
  2. Step 2: Convert to fraction form
    242.28/363.31 = 88.17/x
  3. Step 3: Cross multiply
    242.28x = 363.31 × 88.17
  4. Step 4: Simplify right side
    242.28x = 32,033.04
  5. Step 5: Solve for x
    x = 32,033.04/242.28
  6. Step 6: Final answer
    x = 132.21

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Why These Related Problems?

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