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Finding the Fourth Proportional to 168.20, 230.60 and 165.12

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Solution

The fourth proportional to 168.20, 230.60 and 165.12 is: 226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.20 : 230.60 = 165.12 : x
  2. Step 2: Convert to fraction form
    168.20/230.60 = 165.12/x
  3. Step 3: Cross multiply
    168.20x = 230.60 × 165.12
  4. Step 4: Simplify right side
    168.20x = 38,076.67
  5. Step 5: Solve for x
    x = 38,076.67/168.20
  6. Step 6: Final answer
    x = 226.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.