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Finding the Fourth Proportional to 322.11, 444.49 and 182.23

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Solution

The fourth proportional to 322.11, 444.49 and 182.23 is: 251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.11 : 444.49 = 182.23 : x
  2. Step 2: Convert to fraction form
    322.11/444.49 = 182.23/x
  3. Step 3: Cross multiply
    322.11x = 444.49 × 182.23
  4. Step 4: Simplify right side
    322.11x = 80,997.85
  5. Step 5: Solve for x
    x = 80,997.85/322.11
  6. Step 6: Final answer
    x = 251.46

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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.