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Finding the Fourth Proportional to 322.66, 445.34 and 182.78

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Solution

The fourth proportional to 322.66, 445.34 and 182.78 is: 252.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.66 : 445.34 = 182.78 : x
  2. Step 2: Convert to fraction form
    322.66/445.34 = 182.78/x
  3. Step 3: Cross multiply
    322.66x = 445.34 × 182.78
  4. Step 4: Simplify right side
    322.66x = 81,399.25
  5. Step 5: Solve for x
    x = 81,399.25/322.66
  6. Step 6: Final answer
    x = 252.28

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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.