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Finding the Fourth Proportional to 512.35, 768.47 and 142.18

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Solution

The fourth proportional to 512.35, 768.47 and 142.18 is: 213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.35 : 768.47 = 142.18 : x
  2. Step 2: Convert to fraction form
    512.35/768.47 = 142.18/x
  3. Step 3: Cross multiply
    512.35x = 768.47 × 142.18
  4. Step 4: Simplify right side
    512.35x = 109,262.27
  5. Step 5: Solve for x
    x = 109,262.27/512.35
  6. Step 6: Final answer
    x = 213.26

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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.