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Finding the Fourth Proportional to 185.92, 279.28 and 174.96

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Solution

The fourth proportional to 185.92, 279.28 and 174.96 is: 262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.92 : 279.28 = 174.96 : x
  2. Step 2: Convert to fraction form
    185.92/279.28 = 174.96/x
  3. Step 3: Cross multiply
    185.92x = 279.28 × 174.96
  4. Step 4: Simplify right side
    185.92x = 48,862.83
  5. Step 5: Solve for x
    x = 48,862.83/185.92
  6. Step 6: Final answer
    x = 262.82

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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.