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Finding the Fourth Proportional to 512.82, 769.29 and 147.61

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Solution

The fourth proportional to 512.82, 769.29 and 147.61 is: 221.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.82 : 769.29 = 147.61 : x
  2. Step 2: Convert to fraction form
    512.82/769.29 = 147.61/x
  3. Step 3: Cross multiply
    512.82x = 769.29 × 147.61
  4. Step 4: Simplify right side
    512.82x = 113,554.90
  5. Step 5: Solve for x
    x = 113,554.90/512.82
  6. Step 6: Final answer
    x = 221.43

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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.