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Finding the Fourth Proportional to 323.31, 446.14 and 192.31

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Solution

The fourth proportional to 323.31, 446.14 and 192.31 is: 265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.31 : 446.14 = 192.31 : x
  2. Step 2: Convert to fraction form
    323.31/446.14 = 192.31/x
  3. Step 3: Cross multiply
    323.31x = 446.14 × 192.31
  4. Step 4: Simplify right side
    323.31x = 85,797.18
  5. Step 5: Solve for x
    x = 85,797.18/323.31
  6. Step 6: Final answer
    x = 265.37

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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.