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Finding the Fourth Proportional to 344.72, 517.12 and 171.44

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Solution

The fourth proportional to 344.72, 517.12 and 171.44 is: 257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.72 : 517.12 = 171.44 : x
  2. Step 2: Convert to fraction form
    344.72/517.12 = 171.44/x
  3. Step 3: Cross multiply
    344.72x = 517.12 × 171.44
  4. Step 4: Simplify right side
    344.72x = 88,655.05
  5. Step 5: Solve for x
    x = 88,655.05/344.72
  6. Step 6: Final answer
    x = 257.18

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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.