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Finding the Fourth Proportional to 168.14, 252 and 157.76

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Solution

The fourth proportional to 168.14, 252 and 157.76 is: 236.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 252 = 157.76 : x
  2. Step 2: Convert to fraction form
    168.14/252 = 157.76/x
  3. Step 3: Cross multiply
    168.14x = 252 × 157.76
  4. Step 4: Simplify right side
    168.14x = 39,755.21
  5. Step 5: Solve for x
    x = 39,755.21/168.14
  6. Step 6: Final answer
    x = 236.44

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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.