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Finding the Fourth Proportional to 179.53, 269.03 and 82.06

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Solution

The fourth proportional to 179.53, 269.03 and 82.06 is: 122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.53 : 269.03 = 82.06 : x
  2. Step 2: Convert to fraction form
    179.53/269.03 = 82.06/x
  3. Step 3: Cross multiply
    179.53x = 269.03 × 82.06
  4. Step 4: Simplify right side
    179.53x = 22,076.60
  5. Step 5: Solve for x
    x = 22,076.60/179.53
  6. Step 6: Final answer
    x = 122.97

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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.