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Finding the Fourth Proportional to 186.06, 279.17 and 77.83

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Solution

The fourth proportional to 186.06, 279.17 and 77.83 is: 116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.06 : 279.17 = 77.83 : x
  2. Step 2: Convert to fraction form
    186.06/279.17 = 77.83/x
  3. Step 3: Cross multiply
    186.06x = 279.17 × 77.83
  4. Step 4: Simplify right side
    186.06x = 21,727.80
  5. Step 5: Solve for x
    x = 21,727.80/186.06
  6. Step 6: Final answer
    x = 116.78

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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.