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Finding the Fourth Proportional to 168.14, 251.85 and 155.48

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Solution

The fourth proportional to 168.14, 251.85 and 155.48 is: 232.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 251.85 = 155.48 : x
  2. Step 2: Convert to fraction form
    168.14/251.85 = 155.48/x
  3. Step 3: Cross multiply
    168.14x = 251.85 × 155.48
  4. Step 4: Simplify right side
    168.14x = 39,157.64
  5. Step 5: Solve for x
    x = 39,157.64/168.14
  6. Step 6: Final answer
    x = 232.89

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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.