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Finding the Fourth Proportional to 195.14, 269.24 and 132.86

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Solution

The fourth proportional to 195.14, 269.24 and 132.86 is: 183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.14 : 269.24 = 132.86 : x
  2. Step 2: Convert to fraction form
    195.14/269.24 = 132.86/x
  3. Step 3: Cross multiply
    195.14x = 269.24 × 132.86
  4. Step 4: Simplify right side
    195.14x = 35,771.24
  5. Step 5: Solve for x
    x = 35,771.24/195.14
  6. Step 6: Final answer
    x = 183.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.