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Finding the Fourth Proportional to 252.50, 379.49 and 171.90

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Solution

The fourth proportional to 252.50, 379.49 and 171.90 is: 258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.50 : 379.49 = 171.90 : x
  2. Step 2: Convert to fraction form
    252.50/379.49 = 171.90/x
  3. Step 3: Cross multiply
    252.50x = 379.49 × 171.90
  4. Step 4: Simplify right side
    252.50x = 65,233.47
  5. Step 5: Solve for x
    x = 65,233.47/252.50
  6. Step 6: Final answer
    x = 258.36

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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.