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Finding the Fourth Proportional to 168.01, 251.60 and 119.30

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Solution

The fourth proportional to 168.01, 251.60 and 119.30 is: 178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.01 : 251.60 = 119.30 : x
  2. Step 2: Convert to fraction form
    168.01/251.60 = 119.30/x
  3. Step 3: Cross multiply
    168.01x = 251.60 × 119.30
  4. Step 4: Simplify right side
    168.01x = 30,014.03
  5. Step 5: Solve for x
    x = 30,014.03/168.01
  6. Step 6: Final answer
    x = 178.65

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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.