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Finding the Fourth Proportional to 184.66, 277.10 and 81.95

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Solution

The fourth proportional to 184.66, 277.10 and 81.95 is: 122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.66 : 277.10 = 81.95 : x
  2. Step 2: Convert to fraction form
    184.66/277.10 = 81.95/x
  3. Step 3: Cross multiply
    184.66x = 277.10 × 81.95
  4. Step 4: Simplify right side
    184.66x = 22,708.35
  5. Step 5: Solve for x
    x = 22,708.35/184.66
  6. Step 6: Final answer
    x = 122.97

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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.