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Finding the Fourth Proportional to 322.24, 444.74 and 182.38

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Solution

The fourth proportional to 322.24, 444.74 and 182.38 is: 251.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.24 : 444.74 = 182.38 : x
  2. Step 2: Convert to fraction form
    322.24/444.74 = 182.38/x
  3. Step 3: Cross multiply
    322.24x = 444.74 × 182.38
  4. Step 4: Simplify right side
    322.24x = 81,111.68
  5. Step 5: Solve for x
    x = 81,111.68/322.24
  6. Step 6: Final answer
    x = 251.71

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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.