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Finding the Fourth Proportional to 195.75, 270.14 and 108.42

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Solution

The fourth proportional to 195.75, 270.14 and 108.42 is: 149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 270.14 = 108.42 : x
  2. Step 2: Convert to fraction form
    195.75/270.14 = 108.42/x
  3. Step 3: Cross multiply
    195.75x = 270.14 × 108.42
  4. Step 4: Simplify right side
    195.75x = 29,288.54
  5. Step 5: Solve for x
    x = 29,288.54/195.75
  6. Step 6: Final answer
    x = 149.62

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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.