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Finding the Fourth Proportional to 263.94, 396.36 and 209.27

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Solution

The fourth proportional to 263.94, 396.36 and 209.27 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.94 : 396.36 = 209.27 : x
  2. Step 2: Convert to fraction form
    263.94/396.36 = 209.27/x
  3. Step 3: Cross multiply
    263.94x = 396.36 × 209.27
  4. Step 4: Simplify right side
    263.94x = 82,944.28
  5. Step 5: Solve for x
    x = 82,944.28/263.94
  6. Step 6: Final answer
    x = 314.25

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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.