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Finding the Fourth Proportional to 272.24, 408.04 and 164.04

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Solution

The fourth proportional to 272.24, 408.04 and 164.04 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.24 : 408.04 = 164.04 : x
  2. Step 2: Convert to fraction form
    272.24/408.04 = 164.04/x
  3. Step 3: Cross multiply
    272.24x = 408.04 × 164.04
  4. Step 4: Simplify right side
    272.24x = 66,934.88
  5. Step 5: Solve for x
    x = 66,934.88/272.24
  6. Step 6: Final answer
    x = 245.87

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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.