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Finding the Fourth Proportional to 272.67, 410.57 and 224.37

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Solution

The fourth proportional to 272.67, 410.57 and 224.37 is: 337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.67 : 410.57 = 224.37 : x
  2. Step 2: Convert to fraction form
    272.67/410.57 = 224.37/x
  3. Step 3: Cross multiply
    272.67x = 410.57 × 224.37
  4. Step 4: Simplify right side
    272.67x = 92,119.31
  5. Step 5: Solve for x
    x = 92,119.31/272.67
  6. Step 6: Final answer
    x = 337.85

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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.