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Finding the Fourth Proportional to 323.95, 446.91 and 199.57

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Solution

The fourth proportional to 323.95, 446.91 and 199.57 is: 275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.95 : 446.91 = 199.57 : x
  2. Step 2: Convert to fraction form
    323.95/446.91 = 199.57/x
  3. Step 3: Cross multiply
    323.95x = 446.91 × 199.57
  4. Step 4: Simplify right side
    323.95x = 89,189.83
  5. Step 5: Solve for x
    x = 89,189.83/323.95
  6. Step 6: Final answer
    x = 275.32

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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.