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Finding the Fourth Proportional to 186.50, 279.68 and 83.76

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Solution

The fourth proportional to 186.50, 279.68 and 83.76 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.50 : 279.68 = 83.76 : x
  2. Step 2: Convert to fraction form
    186.50/279.68 = 83.76/x
  3. Step 3: Cross multiply
    186.50x = 279.68 × 83.76
  4. Step 4: Simplify right side
    186.50x = 23,425.58
  5. Step 5: Solve for x
    x = 23,425.58/186.50
  6. Step 6: Final answer
    x = 125.61

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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.