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Finding the Fourth Proportional to 184.78, 276.92 and 88.40

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Solution

The fourth proportional to 184.78, 276.92 and 88.40 is: 132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 276.92 = 88.40 : x
  2. Step 2: Convert to fraction form
    184.78/276.92 = 88.40/x
  3. Step 3: Cross multiply
    184.78x = 276.92 × 88.40
  4. Step 4: Simplify right side
    184.78x = 24,479.73
  5. Step 5: Solve for x
    x = 24,479.73/184.78
  6. Step 6: Final answer
    x = 132.48

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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.