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Finding the Fourth Proportional to 512.92, 769.22 and 147.61

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Solution

The fourth proportional to 512.92, 769.22 and 147.61 is: 221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 769.22 = 147.61 : x
  2. Step 2: Convert to fraction form
    512.92/769.22 = 147.61/x
  3. Step 3: Cross multiply
    512.92x = 769.22 × 147.61
  4. Step 4: Simplify right side
    512.92x = 113,544.93
  5. Step 5: Solve for x
    x = 113,544.93/512.92
  6. Step 6: Final answer
    x = 221.37

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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.