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Finding the Fourth Proportional to 168.46, 232.77 and 139.30

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Solution

The fourth proportional to 168.46, 232.77 and 139.30 is: 192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.46 : 232.77 = 139.30 : x
  2. Step 2: Convert to fraction form
    168.46/232.77 = 139.30/x
  3. Step 3: Cross multiply
    168.46x = 232.77 × 139.30
  4. Step 4: Simplify right side
    168.46x = 32,425.15
  5. Step 5: Solve for x
    x = 32,425.15/168.46
  6. Step 6: Final answer
    x = 192.48

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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.