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Finding the Fourth Proportional to 195.56, 270.03 and 140.43

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Solution

The fourth proportional to 195.56, 270.03 and 140.43 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.56 : 270.03 = 140.43 : x
  2. Step 2: Convert to fraction form
    195.56/270.03 = 140.43/x
  3. Step 3: Cross multiply
    195.56x = 270.03 × 140.43
  4. Step 4: Simplify right side
    195.56x = 37,921.85
  5. Step 5: Solve for x
    x = 37,921.85/195.56
  6. Step 6: Final answer
    x = 193.91

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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.