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Finding the Fourth Proportional to 322.82, 445.09 and 191.78

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Solution

The fourth proportional to 322.82, 445.09 and 191.78 is: 264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.82 : 445.09 = 191.78 : x
  2. Step 2: Convert to fraction form
    322.82/445.09 = 191.78/x
  3. Step 3: Cross multiply
    322.82x = 445.09 × 191.78
  4. Step 4: Simplify right side
    322.82x = 85,359.36
  5. Step 5: Solve for x
    x = 85,359.36/322.82
  6. Step 6: Final answer
    x = 264.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.