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Finding the Fourth Proportional to 195.45, 269.62 and 112.52

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Solution

The fourth proportional to 195.45, 269.62 and 112.52 is: 155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.45 : 269.62 = 112.52 : x
  2. Step 2: Convert to fraction form
    195.45/269.62 = 112.52/x
  3. Step 3: Cross multiply
    195.45x = 269.62 × 112.52
  4. Step 4: Simplify right side
    195.45x = 30,338.04
  5. Step 5: Solve for x
    x = 30,338.04/195.45
  6. Step 6: Final answer
    x = 155.22

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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.