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Finding the Fourth Proportional to 354.71, 532.02 and 159.50

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Solution

The fourth proportional to 354.71, 532.02 and 159.50 is: 239.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.71 : 532.02 = 159.50 : x
  2. Step 2: Convert to fraction form
    354.71/532.02 = 159.50/x
  3. Step 3: Cross multiply
    354.71x = 532.02 × 159.50
  4. Step 4: Simplify right side
    354.71x = 84,854.53
  5. Step 5: Solve for x
    x = 84,854.53/354.71
  6. Step 6: Final answer
    x = 239.23

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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.