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Finding the Fourth Proportional to 272.20, 408.06 and 245.96

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Solution

The fourth proportional to 272.20, 408.06 and 245.96 is: 368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.20 : 408.06 = 245.96 : x
  2. Step 2: Convert to fraction form
    272.20/408.06 = 245.96/x
  3. Step 3: Cross multiply
    272.20x = 408.06 × 245.96
  4. Step 4: Simplify right side
    272.20x = 100,366.44
  5. Step 5: Solve for x
    x = 100,366.44/272.20
  6. Step 6: Final answer
    x = 368.72

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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.