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Finding the Fourth Proportional to 184.25, 276.46 and 115.76

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Solution

The fourth proportional to 184.25, 276.46 and 115.76 is: 173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.25 : 276.46 = 115.76 : x
  2. Step 2: Convert to fraction form
    184.25/276.46 = 115.76/x
  3. Step 3: Cross multiply
    184.25x = 276.46 × 115.76
  4. Step 4: Simplify right side
    184.25x = 32,003.41
  5. Step 5: Solve for x
    x = 32,003.41/184.25
  6. Step 6: Final answer
    x = 173.69

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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.