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Finding the Fourth Proportional to 168.14, 230.67 and 158.83

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Solution

The fourth proportional to 168.14, 230.67 and 158.83 is: 217.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.14 : 230.67 = 158.83 : x
  2. Step 2: Convert to fraction form
    168.14/230.67 = 158.83/x
  3. Step 3: Cross multiply
    168.14x = 230.67 × 158.83
  4. Step 4: Simplify right side
    168.14x = 36,637.32
  5. Step 5: Solve for x
    x = 36,637.32/168.14
  6. Step 6: Final answer
    x = 217.90

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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.