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Finding the Fourth Proportional to 186.53, 279.72 and 99.85

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Solution

The fourth proportional to 186.53, 279.72 and 99.85 is: 149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 279.72 = 99.85 : x
  2. Step 2: Convert to fraction form
    186.53/279.72 = 99.85/x
  3. Step 3: Cross multiply
    186.53x = 279.72 × 99.85
  4. Step 4: Simplify right side
    186.53x = 27,930.24
  5. Step 5: Solve for x
    x = 27,930.24/186.53
  6. Step 6: Final answer
    x = 149.73

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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.