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Finding the Fourth Proportional to 344.97, 517.50 and 101.46

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Solution

The fourth proportional to 344.97, 517.50 and 101.46 is: 152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.97 : 517.50 = 101.46 : x
  2. Step 2: Convert to fraction form
    344.97/517.50 = 101.46/x
  3. Step 3: Cross multiply
    344.97x = 517.50 × 101.46
  4. Step 4: Simplify right side
    344.97x = 52,505.55
  5. Step 5: Solve for x
    x = 52,505.55/344.97
  6. Step 6: Final answer
    x = 152.20

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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.