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Finding the Fourth Proportional to 512.75, 769.14 and 142.58

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Solution

The fourth proportional to 512.75, 769.14 and 142.58 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 769.14 = 142.58 : x
  2. Step 2: Convert to fraction form
    512.75/769.14 = 142.58/x
  3. Step 3: Cross multiply
    512.75x = 769.14 × 142.58
  4. Step 4: Simplify right side
    512.75x = 109,660.14
  5. Step 5: Solve for x
    x = 109,660.14/512.75
  6. Step 6: Final answer
    x = 213.87

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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.