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Finding the Fourth Proportional to 195.11, 269.29 and 125.15

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Solution

The fourth proportional to 195.11, 269.29 and 125.15 is: 172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.11 : 269.29 = 125.15 : x
  2. Step 2: Convert to fraction form
    195.11/269.29 = 125.15/x
  3. Step 3: Cross multiply
    195.11x = 269.29 × 125.15
  4. Step 4: Simplify right side
    195.11x = 33,701.64
  5. Step 5: Solve for x
    x = 33,701.64/195.11
  6. Step 6: Final answer
    x = 172.73

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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.