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Finding the Fourth Proportional to 179.27, 268.82 and 83

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Solution

The fourth proportional to 179.27, 268.82 and 83 is: 124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.27 : 268.82 = 83 : x
  2. Step 2: Convert to fraction form
    179.27/268.82 = 83/x
  3. Step 3: Cross multiply
    179.27x = 268.82 × 83
  4. Step 4: Simplify right side
    179.27x = 22,311.65
  5. Step 5: Solve for x
    x = 22,311.65/179.27
  6. Step 6: Final answer
    x = 124.46

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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.