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Finding the Fourth Proportional to 184.57, 276.96 and 81.85

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Solution

The fourth proportional to 184.57, 276.96 and 81.85 is: 122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.57 : 276.96 = 81.85 : x
  2. Step 2: Convert to fraction form
    184.57/276.96 = 81.85/x
  3. Step 3: Cross multiply
    184.57x = 276.96 × 81.85
  4. Step 4: Simplify right side
    184.57x = 22,669.18
  5. Step 5: Solve for x
    x = 22,669.18/184.57
  6. Step 6: Final answer
    x = 122.82

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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.