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Finding the Fourth Proportional to 195.56, 269.86 and 111.54

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Solution

The fourth proportional to 195.56, 269.86 and 111.54 is: 153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.56 : 269.86 = 111.54 : x
  2. Step 2: Convert to fraction form
    195.56/269.86 = 111.54/x
  3. Step 3: Cross multiply
    195.56x = 269.86 × 111.54
  4. Step 4: Simplify right side
    195.56x = 30,100.18
  5. Step 5: Solve for x
    x = 30,100.18/195.56
  6. Step 6: Final answer
    x = 153.92

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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.