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Finding the Fourth Proportional to 323.54, 446.26 and 212.98

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Solution

The fourth proportional to 323.54, 446.26 and 212.98 is: 293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.54 : 446.26 = 212.98 : x
  2. Step 2: Convert to fraction form
    323.54/446.26 = 212.98/x
  3. Step 3: Cross multiply
    323.54x = 446.26 × 212.98
  4. Step 4: Simplify right side
    323.54x = 95,044.45
  5. Step 5: Solve for x
    x = 95,044.45/323.54
  6. Step 6: Final answer
    x = 293.76

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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.