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Finding the Fourth Proportional to 195.44, 269.71 and 112.57

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Solution

The fourth proportional to 195.44, 269.71 and 112.57 is: 155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 269.71 = 112.57 : x
  2. Step 2: Convert to fraction form
    195.44/269.71 = 112.57/x
  3. Step 3: Cross multiply
    195.44x = 269.71 × 112.57
  4. Step 4: Simplify right side
    195.44x = 30,360.84
  5. Step 5: Solve for x
    x = 30,360.84/195.44
  6. Step 6: Final answer
    x = 155.35

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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.