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Finding the Fourth Proportional to 252.97, 379.09 and 115.77

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Solution

The fourth proportional to 252.97, 379.09 and 115.77 is: 173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.97 : 379.09 = 115.77 : x
  2. Step 2: Convert to fraction form
    252.97/379.09 = 115.77/x
  3. Step 3: Cross multiply
    252.97x = 379.09 × 115.77
  4. Step 4: Simplify right side
    252.97x = 43,887.25
  5. Step 5: Solve for x
    x = 43,887.25/252.97
  6. Step 6: Final answer
    x = 173.49

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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.