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Finding the Fourth Proportional to 169.86, 234.13 and 140.30

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Solution

The fourth proportional to 169.86, 234.13 and 140.30 is: 193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 234.13 = 140.30 : x
  2. Step 2: Convert to fraction form
    169.86/234.13 = 140.30/x
  3. Step 3: Cross multiply
    169.86x = 234.13 × 140.30
  4. Step 4: Simplify right side
    169.86x = 32,847.27
  5. Step 5: Solve for x
    x = 32,847.27/169.86
  6. Step 6: Final answer
    x = 193.38

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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.