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Finding the Fourth Proportional to 195.44, 269.84 and 133.23

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Solution

The fourth proportional to 195.44, 269.84 and 133.23 is: 183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 269.84 = 133.23 : x
  2. Step 2: Convert to fraction form
    195.44/269.84 = 133.23/x
  3. Step 3: Cross multiply
    195.44x = 269.84 × 133.23
  4. Step 4: Simplify right side
    195.44x = 35,951.12
  5. Step 5: Solve for x
    x = 35,951.12/195.44
  6. Step 6: Final answer
    x = 183.95

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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.