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Finding the Fourth Proportional to 195.41, 269.61 and 116.72

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Solution

The fourth proportional to 195.41, 269.61 and 116.72 is: 161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.41 : 269.61 = 116.72 : x
  2. Step 2: Convert to fraction form
    195.41/269.61 = 116.72/x
  3. Step 3: Cross multiply
    195.41x = 269.61 × 116.72
  4. Step 4: Simplify right side
    195.41x = 31,468.88
  5. Step 5: Solve for x
    x = 31,468.88/195.41
  6. Step 6: Final answer
    x = 161.04

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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.