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Finding the Fourth Proportional to 187.20, 281.08 and 167.70

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Solution

The fourth proportional to 187.20, 281.08 and 167.70 is: 251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.20 : 281.08 = 167.70 : x
  2. Step 2: Convert to fraction form
    187.20/281.08 = 167.70/x
  3. Step 3: Cross multiply
    187.20x = 281.08 × 167.70
  4. Step 4: Simplify right side
    187.20x = 47,137.12
  5. Step 5: Solve for x
    x = 47,137.12/187.20
  6. Step 6: Final answer
    x = 251.80

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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.