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Finding the Fourth Proportional to 354.92, 532.03 and 149.63

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Solution

The fourth proportional to 354.92, 532.03 and 149.63 is: 224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.92 : 532.03 = 149.63 : x
  2. Step 2: Convert to fraction form
    354.92/532.03 = 149.63/x
  3. Step 3: Cross multiply
    354.92x = 532.03 × 149.63
  4. Step 4: Simplify right side
    354.92x = 79,607.65
  5. Step 5: Solve for x
    x = 79,607.65/354.92
  6. Step 6: Final answer
    x = 224.30

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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.