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Finding the Fourth Proportional to 195.46, 269.14 and 185.42

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Solution

The fourth proportional to 195.46, 269.14 and 185.42 is: 255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.46 : 269.14 = 185.42 : x
  2. Step 2: Convert to fraction form
    195.46/269.14 = 185.42/x
  3. Step 3: Cross multiply
    195.46x = 269.14 × 185.42
  4. Step 4: Simplify right side
    195.46x = 49,902.13
  5. Step 5: Solve for x
    x = 49,902.13/195.46
  6. Step 6: Final answer
    x = 255.31

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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.