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Finding the Fourth Proportional to 195.97, 270.36 and 126.02

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Solution

The fourth proportional to 195.97, 270.36 and 126.02 is: 173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.97 : 270.36 = 126.02 : x
  2. Step 2: Convert to fraction form
    195.97/270.36 = 126.02/x
  3. Step 3: Cross multiply
    195.97x = 270.36 × 126.02
  4. Step 4: Simplify right side
    195.97x = 34,069.42
  5. Step 5: Solve for x
    x = 34,069.42/195.97
  6. Step 6: Final answer
    x = 173.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.