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Finding the Fourth Proportional to 512.80, 769.17 and 147.58

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Solution

The fourth proportional to 512.80, 769.17 and 147.58 is: 221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.80 : 769.17 = 147.58 : x
  2. Step 2: Convert to fraction form
    512.80/769.17 = 147.58/x
  3. Step 3: Cross multiply
    512.80x = 769.17 × 147.58
  4. Step 4: Simplify right side
    512.80x = 113,514.11
  5. Step 5: Solve for x
    x = 113,514.11/512.80
  6. Step 6: Final answer
    x = 221.36

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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.