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Finding the Fourth Proportional to 195.59, 269.84 and 117.92

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Solution

The fourth proportional to 195.59, 269.84 and 117.92 is: 162.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.59 : 269.84 = 117.92 : x
  2. Step 2: Convert to fraction form
    195.59/269.84 = 117.92/x
  3. Step 3: Cross multiply
    195.59x = 269.84 × 117.92
  4. Step 4: Simplify right side
    195.59x = 31,819.53
  5. Step 5: Solve for x
    x = 31,819.53/195.59
  6. Step 6: Final answer
    x = 162.68

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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.