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Finding the Fourth Proportional to 322.60, 445.18 and 182.71

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Solution

The fourth proportional to 322.60, 445.18 and 182.71 is: 252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.60 : 445.18 = 182.71 : x
  2. Step 2: Convert to fraction form
    322.60/445.18 = 182.71/x
  3. Step 3: Cross multiply
    322.60x = 445.18 × 182.71
  4. Step 4: Simplify right side
    322.60x = 81,338.84
  5. Step 5: Solve for x
    x = 81,338.84/322.60
  6. Step 6: Final answer
    x = 252.14

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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.