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Finding the Fourth Proportional to 168.40, 232.23 and 131.55

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Solution

The fourth proportional to 168.40, 232.23 and 131.55 is: 181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.40 : 232.23 = 131.55 : x
  2. Step 2: Convert to fraction form
    168.40/232.23 = 131.55/x
  3. Step 3: Cross multiply
    168.40x = 232.23 × 131.55
  4. Step 4: Simplify right side
    168.40x = 30,549.86
  5. Step 5: Solve for x
    x = 30,549.86/168.40
  6. Step 6: Final answer
    x = 181.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.