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Finding the Fourth Proportional to 272.12, 409.76 and 200.48

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Solution

The fourth proportional to 272.12, 409.76 and 200.48 is: 301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.12 : 409.76 = 200.48 : x
  2. Step 2: Convert to fraction form
    272.12/409.76 = 200.48/x
  3. Step 3: Cross multiply
    272.12x = 409.76 × 200.48
  4. Step 4: Simplify right side
    272.12x = 82,148.68
  5. Step 5: Solve for x
    x = 82,148.68/272.12
  6. Step 6: Final answer
    x = 301.88

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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.