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Finding the Fourth Proportional to 187.87, 281.86 and 167.45

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Solution

The fourth proportional to 187.87, 281.86 and 167.45 is: 251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.87 : 281.86 = 167.45 : x
  2. Step 2: Convert to fraction form
    187.87/281.86 = 167.45/x
  3. Step 3: Cross multiply
    187.87x = 281.86 × 167.45
  4. Step 4: Simplify right side
    187.87x = 47,195.63
  5. Step 5: Solve for x
    x = 47,195.63/187.87
  6. Step 6: Final answer
    x = 251.22

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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.