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Finding the Fourth Proportional to 179.41, 269.14 and 69.73

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Solution

The fourth proportional to 179.41, 269.14 and 69.73 is: 104.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.41 : 269.14 = 69.73 : x
  2. Step 2: Convert to fraction form
    179.41/269.14 = 69.73/x
  3. Step 3: Cross multiply
    179.41x = 269.14 × 69.73
  4. Step 4: Simplify right side
    179.41x = 18,766.29
  5. Step 5: Solve for x
    x = 18,766.29/179.41
  6. Step 6: Final answer
    x = 104.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.