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Finding the Fourth Proportional to 185.92, 278.76 and 83.18

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Solution

The fourth proportional to 185.92, 278.76 and 83.18 is: 124.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.92 : 278.76 = 83.18 : x
  2. Step 2: Convert to fraction form
    185.92/278.76 = 83.18/x
  3. Step 3: Cross multiply
    185.92x = 278.76 × 83.18
  4. Step 4: Simplify right side
    185.92x = 23,187.26
  5. Step 5: Solve for x
    x = 23,187.26/185.92
  6. Step 6: Final answer
    x = 124.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.