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Finding the Fourth Proportional to 187.67, 281.39 and 106.40

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Solution

The fourth proportional to 187.67, 281.39 and 106.40 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.67 : 281.39 = 106.40 : x
  2. Step 2: Convert to fraction form
    187.67/281.39 = 106.40/x
  3. Step 3: Cross multiply
    187.67x = 281.39 × 106.40
  4. Step 4: Simplify right side
    187.67x = 29,939.90
  5. Step 5: Solve for x
    x = 29,939.90/187.67
  6. Step 6: Final answer
    x = 159.53

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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.