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Finding the Fourth Proportional to 323.94, 446.82 and 199.64

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Solution

The fourth proportional to 323.94, 446.82 and 199.64 is: 275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.94 : 446.82 = 199.64 : x
  2. Step 2: Convert to fraction form
    323.94/446.82 = 199.64/x
  3. Step 3: Cross multiply
    323.94x = 446.82 × 199.64
  4. Step 4: Simplify right side
    323.94x = 89,200.91
  5. Step 5: Solve for x
    x = 89,200.91/323.94
  6. Step 6: Final answer
    x = 275.36

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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.