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Finding the Fourth Proportional to 272.20, 411.07 and 272.20

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Solution

The fourth proportional to 272.20, 411.07 and 272.20 is: 411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.20 : 411.07 = 272.20 : x
  2. Step 2: Convert to fraction form
    272.20/411.07 = 272.20/x
  3. Step 3: Cross multiply
    272.20x = 411.07 × 272.20
  4. Step 4: Simplify right side
    272.20x = 111,893.25
  5. Step 5: Solve for x
    x = 111,893.25/272.20
  6. Step 6: Final answer
    x = 411.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.