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Finding the Fourth Proportional to 323.87, 446.79 and 191.05

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Solution

The fourth proportional to 323.87, 446.79 and 191.05 is: 263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.87 : 446.79 = 191.05 : x
  2. Step 2: Convert to fraction form
    323.87/446.79 = 191.05/x
  3. Step 3: Cross multiply
    323.87x = 446.79 × 191.05
  4. Step 4: Simplify right side
    323.87x = 85,359.23
  5. Step 5: Solve for x
    x = 85,359.23/323.87
  6. Step 6: Final answer
    x = 263.56

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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.