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Finding the Fourth Proportional to 323.83, 446.74 and 199.43

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Solution

The fourth proportional to 323.83, 446.74 and 199.43 is: 275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.83 : 446.74 = 199.43 : x
  2. Step 2: Convert to fraction form
    323.83/446.74 = 199.43/x
  3. Step 3: Cross multiply
    323.83x = 446.74 × 199.43
  4. Step 4: Simplify right side
    323.83x = 89,090.63
  5. Step 5: Solve for x
    x = 89,090.63/323.83
  6. Step 6: Final answer
    x = 275.12

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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.