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Finding the Fourth Proportional to 272.72, 409.24 and 200.76

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Solution

The fourth proportional to 272.72, 409.24 and 200.76 is: 301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.72 : 409.24 = 200.76 : x
  2. Step 2: Convert to fraction form
    272.72/409.24 = 200.76/x
  3. Step 3: Cross multiply
    272.72x = 409.24 × 200.76
  4. Step 4: Simplify right side
    272.72x = 82,159.02
  5. Step 5: Solve for x
    x = 82,159.02/272.72
  6. Step 6: Final answer
    x = 301.26

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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.