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Finding the Fourth Proportional to 323.11, 446.05 and 218.74

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Solution

The fourth proportional to 323.11, 446.05 and 218.74 is: 301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.11 : 446.05 = 218.74 : x
  2. Step 2: Convert to fraction form
    323.11/446.05 = 218.74/x
  3. Step 3: Cross multiply
    323.11x = 446.05 × 218.74
  4. Step 4: Simplify right side
    323.11x = 97,569.61
  5. Step 5: Solve for x
    x = 97,569.61/323.11
  6. Step 6: Final answer
    x = 301.97

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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.