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Finding the Fourth Proportional to 344.59, 516.97 and 101.12

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Solution

The fourth proportional to 344.59, 516.97 and 101.12 is: 151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.59 : 516.97 = 101.12 : x
  2. Step 2: Convert to fraction form
    344.59/516.97 = 101.12/x
  3. Step 3: Cross multiply
    344.59x = 516.97 × 101.12
  4. Step 4: Simplify right side
    344.59x = 52,276.01
  5. Step 5: Solve for x
    x = 52,276.01/344.59
  6. Step 6: Final answer
    x = 151.70

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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.