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Finding the Fourth Proportional to 179.54, 269.20 and 82.06

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Solution

The fourth proportional to 179.54, 269.20 and 82.06 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.54 : 269.20 = 82.06 : x
  2. Step 2: Convert to fraction form
    179.54/269.20 = 82.06/x
  3. Step 3: Cross multiply
    179.54x = 269.20 × 82.06
  4. Step 4: Simplify right side
    179.54x = 22,090.55
  5. Step 5: Solve for x
    x = 22,090.55/179.54
  6. Step 6: Final answer
    x = 123.04

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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.