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Finding the Fourth Proportional to 354.82, 532.02 and 149.27

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Solution

The fourth proportional to 354.82, 532.02 and 149.27 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.82 : 532.02 = 149.27 : x
  2. Step 2: Convert to fraction form
    354.82/532.02 = 149.27/x
  3. Step 3: Cross multiply
    354.82x = 532.02 × 149.27
  4. Step 4: Simplify right side
    354.82x = 79,416.55
  5. Step 5: Solve for x
    x = 79,416.55/354.82
  6. Step 6: Final answer
    x = 223.82

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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.