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Finding the Fourth Proportional to 186.62, 280.00 and 83.83

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Solution

The fourth proportional to 186.62, 280.00 and 83.83 is: 125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.62 : 280.00 = 83.83 : x
  2. Step 2: Convert to fraction form
    186.62/280.00 = 83.83/x
  3. Step 3: Cross multiply
    186.62x = 280.00 × 83.83
  4. Step 4: Simplify right side
    186.62x = 23,472.61
  5. Step 5: Solve for x
    x = 23,472.61/186.62
  6. Step 6: Final answer
    x = 125.78

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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.