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Finding the Fourth Proportional to 184.62, 276.66 and 91.97

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Solution

The fourth proportional to 184.62, 276.66 and 91.97 is: 137.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.62 : 276.66 = 91.97 : x
  2. Step 2: Convert to fraction form
    184.62/276.66 = 91.97/x
  3. Step 3: Cross multiply
    184.62x = 276.66 × 91.97
  4. Step 4: Simplify right side
    184.62x = 25,444.42
  5. Step 5: Solve for x
    x = 25,444.42/184.62
  6. Step 6: Final answer
    x = 137.82

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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.