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Finding the Fourth Proportional to 167.87, 252.03 and 133.77

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Solution

The fourth proportional to 167.87, 252.03 and 133.77 is: 200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.87 : 252.03 = 133.77 : x
  2. Step 2: Convert to fraction form
    167.87/252.03 = 133.77/x
  3. Step 3: Cross multiply
    167.87x = 252.03 × 133.77
  4. Step 4: Simplify right side
    167.87x = 33,714.05
  5. Step 5: Solve for x
    x = 33,714.05/167.87
  6. Step 6: Final answer
    x = 200.84

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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.