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Finding the Fourth Proportional to 344.78, 517.16 and 101.31

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Solution

The fourth proportional to 344.78, 517.16 and 101.31 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.78 : 517.16 = 101.31 : x
  2. Step 2: Convert to fraction form
    344.78/517.16 = 101.31/x
  3. Step 3: Cross multiply
    344.78x = 517.16 × 101.31
  4. Step 4: Simplify right side
    344.78x = 52,393.48
  5. Step 5: Solve for x
    x = 52,393.48/344.78
  6. Step 6: Final answer
    x = 151.96

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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.