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Finding the Fourth Proportional to 532.15, 798.13 and 147.31

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Solution

The fourth proportional to 532.15, 798.13 and 147.31 is: 220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.15 : 798.13 = 147.31 : x
  2. Step 2: Convert to fraction form
    532.15/798.13 = 147.31/x
  3. Step 3: Cross multiply
    532.15x = 798.13 × 147.31
  4. Step 4: Simplify right side
    532.15x = 117,572.53
  5. Step 5: Solve for x
    x = 117,572.53/532.15
  6. Step 6: Final answer
    x = 220.94

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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.