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Finding the Fourth Proportional to 179.80, 269.82 and 179.14

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Solution

The fourth proportional to 179.80, 269.82 and 179.14 is: 268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.80 : 269.82 = 179.14 : x
  2. Step 2: Convert to fraction form
    179.80/269.82 = 179.14/x
  3. Step 3: Cross multiply
    179.80x = 269.82 × 179.14
  4. Step 4: Simplify right side
    179.80x = 48,335.55
  5. Step 5: Solve for x
    x = 48,335.55/179.80
  6. Step 6: Final answer
    x = 268.83

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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.