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Finding the Fourth Proportional to 252.69, 379.17 and 108.38

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Solution

The fourth proportional to 252.69, 379.17 and 108.38 is: 162.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.69 : 379.17 = 108.38 : x
  2. Step 2: Convert to fraction form
    252.69/379.17 = 108.38/x
  3. Step 3: Cross multiply
    252.69x = 379.17 × 108.38
  4. Step 4: Simplify right side
    252.69x = 41,092.55
  5. Step 5: Solve for x
    x = 41,092.55/252.69
  6. Step 6: Final answer
    x = 162.62

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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.