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Finding the Fourth Proportional to 184.62, 276.78 and 93.27

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Solution

The fourth proportional to 184.62, 276.78 and 93.27 is: 139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.62 : 276.78 = 93.27 : x
  2. Step 2: Convert to fraction form
    184.62/276.78 = 93.27/x
  3. Step 3: Cross multiply
    184.62x = 276.78 × 93.27
  4. Step 4: Simplify right side
    184.62x = 25,815.27
  5. Step 5: Solve for x
    x = 25,815.27/184.62
  6. Step 6: Final answer
    x = 139.83

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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.