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Finding the Fourth Proportional to 512.61, 769.04 and 147.42

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Solution

The fourth proportional to 512.61, 769.04 and 147.42 is: 221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.61 : 769.04 = 147.42 : x
  2. Step 2: Convert to fraction form
    512.61/769.04 = 147.42/x
  3. Step 3: Cross multiply
    512.61x = 769.04 × 147.42
  4. Step 4: Simplify right side
    512.61x = 113,374.17
  5. Step 5: Solve for x
    x = 113,374.17/512.61
  6. Step 6: Final answer
    x = 221.17

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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.