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Finding the Fourth Proportional to 195.59, 269.61 and 179.70

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Solution

The fourth proportional to 195.59, 269.61 and 179.70 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.59 : 269.61 = 179.70 : x
  2. Step 2: Convert to fraction form
    195.59/269.61 = 179.70/x
  3. Step 3: Cross multiply
    195.59x = 269.61 × 179.70
  4. Step 4: Simplify right side
    195.59x = 48,448.92
  5. Step 5: Solve for x
    x = 48,448.92/195.59
  6. Step 6: Final answer
    x = 247.71

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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.