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Finding the Fourth Proportional to 195.12, 269.34 and 129.71

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Solution

The fourth proportional to 195.12, 269.34 and 129.71 is: 179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.12 : 269.34 = 129.71 : x
  2. Step 2: Convert to fraction form
    195.12/269.34 = 129.71/x
  3. Step 3: Cross multiply
    195.12x = 269.34 × 129.71
  4. Step 4: Simplify right side
    195.12x = 34,936.09
  5. Step 5: Solve for x
    x = 34,936.09/195.12
  6. Step 6: Final answer
    x = 179.05

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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.