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Finding the Fourth Proportional to 187.16, 280.42 and 132.78

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Solution

The fourth proportional to 187.16, 280.42 and 132.78 is: 198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.16 : 280.42 = 132.78 : x
  2. Step 2: Convert to fraction form
    187.16/280.42 = 132.78/x
  3. Step 3: Cross multiply
    187.16x = 280.42 × 132.78
  4. Step 4: Simplify right side
    187.16x = 37,234.17
  5. Step 5: Solve for x
    x = 37,234.17/187.16
  6. Step 6: Final answer
    x = 198.94

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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.