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Finding the Fourth Proportional to 169.46, 234.15 and 140.30

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Solution

The fourth proportional to 169.46, 234.15 and 140.30 is: 193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.46 : 234.15 = 140.30 : x
  2. Step 2: Convert to fraction form
    169.46/234.15 = 140.30/x
  3. Step 3: Cross multiply
    169.46x = 234.15 × 140.30
  4. Step 4: Simplify right side
    169.46x = 32,851.25
  5. Step 5: Solve for x
    x = 32,851.25/169.46
  6. Step 6: Final answer
    x = 193.86

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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.