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Finding the Fourth Proportional to 517.71, 776.57 and 132.96

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Solution

The fourth proportional to 517.71, 776.57 and 132.96 is: 199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.71 : 776.57 = 132.96 : x
  2. Step 2: Convert to fraction form
    517.71/776.57 = 132.96/x
  3. Step 3: Cross multiply
    517.71x = 776.57 × 132.96
  4. Step 4: Simplify right side
    517.71x = 103,252.75
  5. Step 5: Solve for x
    x = 103,252.75/517.71
  6. Step 6: Final answer
    x = 199.44

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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.