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Finding the Fourth Proportional to 272.26, 408.09 and 179.68

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Solution

The fourth proportional to 272.26, 408.09 and 179.68 is: 269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.26 : 408.09 = 179.68 : x
  2. Step 2: Convert to fraction form
    272.26/408.09 = 179.68/x
  3. Step 3: Cross multiply
    272.26x = 408.09 × 179.68
  4. Step 4: Simplify right side
    272.26x = 73,325.61
  5. Step 5: Solve for x
    x = 73,325.61/272.26
  6. Step 6: Final answer
    x = 269.32

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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.