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Finding the Fourth Proportional to 195.75, 270.12 and 107.22

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Solution

The fourth proportional to 195.75, 270.12 and 107.22 is: 147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 270.12 = 107.22 : x
  2. Step 2: Convert to fraction form
    195.75/270.12 = 107.22/x
  3. Step 3: Cross multiply
    195.75x = 270.12 × 107.22
  4. Step 4: Simplify right side
    195.75x = 28,962.27
  5. Step 5: Solve for x
    x = 28,962.27/195.75
  6. Step 6: Final answer
    x = 147.96

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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.