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Finding the Fourth Proportional to 323.97, 447.11 and 184.14

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Solution

The fourth proportional to 323.97, 447.11 and 184.14 is: 254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.97 : 447.11 = 184.14 : x
  2. Step 2: Convert to fraction form
    323.97/447.11 = 184.14/x
  3. Step 3: Cross multiply
    323.97x = 447.11 × 184.14
  4. Step 4: Simplify right side
    323.97x = 82,330.84
  5. Step 5: Solve for x
    x = 82,330.84/323.97
  6. Step 6: Final answer
    x = 254.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.