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Finding the Fourth Proportional to 322.72, 445.42 and 191.82

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Solution

The fourth proportional to 322.72, 445.42 and 191.82 is: 264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 445.42 = 191.82 : x
  2. Step 2: Convert to fraction form
    322.72/445.42 = 191.82/x
  3. Step 3: Cross multiply
    322.72x = 445.42 × 191.82
  4. Step 4: Simplify right side
    322.72x = 85,440.46
  5. Step 5: Solve for x
    x = 85,440.46/322.72
  6. Step 6: Final answer
    x = 264.75

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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.