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Finding the Fourth Proportional to 322.06, 444.49 and 182.24

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Solution

The fourth proportional to 322.06, 444.49 and 182.24 is: 251.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.06 : 444.49 = 182.24 : x
  2. Step 2: Convert to fraction form
    322.06/444.49 = 182.24/x
  3. Step 3: Cross multiply
    322.06x = 444.49 × 182.24
  4. Step 4: Simplify right side
    322.06x = 81,001.64
  5. Step 5: Solve for x
    x = 81,001.64/322.06
  6. Step 6: Final answer
    x = 251.51

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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.