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Finding the Fourth Proportional to 236.97, 355.25 and 82.80

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Solution

The fourth proportional to 236.97, 355.25 and 82.80 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.97 : 355.25 = 82.80 : x
  2. Step 2: Convert to fraction form
    236.97/355.25 = 82.80/x
  3. Step 3: Cross multiply
    236.97x = 355.25 × 82.80
  4. Step 4: Simplify right side
    236.97x = 29,414.91
  5. Step 5: Solve for x
    x = 29,414.91/236.97
  6. Step 6: Final answer
    x = 124.13

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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.