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Finding the Fourth Proportional to 322.40, 444.82 and 182.48

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Solution

The fourth proportional to 322.40, 444.82 and 182.48 is: 251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.40 : 444.82 = 182.48 : x
  2. Step 2: Convert to fraction form
    322.40/444.82 = 182.48/x
  3. Step 3: Cross multiply
    322.40x = 444.82 × 182.48
  4. Step 4: Simplify right side
    322.40x = 81,169.84
  5. Step 5: Solve for x
    x = 81,169.84/322.40
  6. Step 6: Final answer
    x = 251.77

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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.