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Finding the Fourth Proportional to 323.63, 446.14 and 199.23

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Solution

The fourth proportional to 323.63, 446.14 and 199.23 is: 274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.63 : 446.14 = 199.23 : x
  2. Step 2: Convert to fraction form
    323.63/446.14 = 199.23/x
  3. Step 3: Cross multiply
    323.63x = 446.14 × 199.23
  4. Step 4: Simplify right side
    323.63x = 88,883.05
  5. Step 5: Solve for x
    x = 88,883.05/323.63
  6. Step 6: Final answer
    x = 274.65

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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.