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Finding the Fourth Proportional to 263.38, 394.94 and 199.12

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Solution

The fourth proportional to 263.38, 394.94 and 199.12 is: 298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.38 : 394.94 = 199.12 : x
  2. Step 2: Convert to fraction form
    263.38/394.94 = 199.12/x
  3. Step 3: Cross multiply
    263.38x = 394.94 × 199.12
  4. Step 4: Simplify right side
    263.38x = 78,640.45
  5. Step 5: Solve for x
    x = 78,640.45/263.38
  6. Step 6: Final answer
    x = 298.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.