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Finding the Fourth Proportional to 195.75, 270.09 and 112.82

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Solution

The fourth proportional to 195.75, 270.09 and 112.82 is: 155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 270.09 = 112.82 : x
  2. Step 2: Convert to fraction form
    195.75/270.09 = 112.82/x
  3. Step 3: Cross multiply
    195.75x = 270.09 × 112.82
  4. Step 4: Simplify right side
    195.75x = 30,470.20
  5. Step 5: Solve for x
    x = 30,470.20/195.75
  6. Step 6: Final answer
    x = 155.66

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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.