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Finding the Fourth Proportional to 272.97, 409.11 and 199.66

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Solution

The fourth proportional to 272.97, 409.11 and 199.66 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.97 : 409.11 = 199.66 : x
  2. Step 2: Convert to fraction form
    272.97/409.11 = 199.66/x
  3. Step 3: Cross multiply
    272.97x = 409.11 × 199.66
  4. Step 4: Simplify right side
    272.97x = 81,682.90
  5. Step 5: Solve for x
    x = 81,682.90/272.97
  6. Step 6: Final answer
    x = 299.24

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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.