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Finding the Fourth Proportional to 512.72, 768.97 and 147.43

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Solution

The fourth proportional to 512.72, 768.97 and 147.43 is: 221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.72 : 768.97 = 147.43 : x
  2. Step 2: Convert to fraction form
    512.72/768.97 = 147.43/x
  3. Step 3: Cross multiply
    512.72x = 768.97 × 147.43
  4. Step 4: Simplify right side
    512.72x = 113,370.39
  5. Step 5: Solve for x
    x = 113,370.39/512.72
  6. Step 6: Final answer
    x = 221.11

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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.