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Finding the Fourth Proportional to 168.32, 230.77 and 165.24

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Solution

The fourth proportional to 168.32, 230.77 and 165.24 is: 226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.32 : 230.77 = 165.24 : x
  2. Step 2: Convert to fraction form
    168.32/230.77 = 165.24/x
  3. Step 3: Cross multiply
    168.32x = 230.77 × 165.24
  4. Step 4: Simplify right side
    168.32x = 38,132.64
  5. Step 5: Solve for x
    x = 38,132.64/168.32
  6. Step 6: Final answer
    x = 226.55

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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.