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Finding the Fourth Proportional to 344.72, 517.13 and 101.21

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Solution

The fourth proportional to 344.72, 517.13 and 101.21 is: 151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 517.13 = 101.21 : x
  2. Step 2: Convert to fraction form
    344.72/517.13 = 101.21/x
  3. Step 3: Cross multiply
    344.72x = 517.13 × 101.21
  4. Step 4: Simplify right side
    344.72x = 52,338.22
  5. Step 5: Solve for x
    x = 52,338.22/344.72
  6. Step 6: Final answer
    x = 151.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.