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Finding the Fourth Proportional to 186.52, 279.84 and 105.42

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Solution

The fourth proportional to 186.52, 279.84 and 105.42 is: 158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.52 : 279.84 = 105.42 : x
  2. Step 2: Convert to fraction form
    186.52/279.84 = 105.42/x
  3. Step 3: Cross multiply
    186.52x = 279.84 × 105.42
  4. Step 4: Simplify right side
    186.52x = 29,500.73
  5. Step 5: Solve for x
    x = 29,500.73/186.52
  6. Step 6: Final answer
    x = 158.16

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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.