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Finding the Fourth Proportional to 195.82, 270.27 and 133.65

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Solution

The fourth proportional to 195.82, 270.27 and 133.65 is: 184.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.82 : 270.27 = 133.65 : x
  2. Step 2: Convert to fraction form
    195.82/270.27 = 133.65/x
  3. Step 3: Cross multiply
    195.82x = 270.27 × 133.65
  4. Step 4: Simplify right side
    195.82x = 36,121.59
  5. Step 5: Solve for x
    x = 36,121.59/195.82
  6. Step 6: Final answer
    x = 184.47

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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.