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Finding the Fourth Proportional to 263.91, 395.25 and 209.84

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Solution

The fourth proportional to 263.91, 395.25 and 209.84 is: 314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.91 : 395.25 = 209.84 : x
  2. Step 2: Convert to fraction form
    263.91/395.25 = 209.84/x
  3. Step 3: Cross multiply
    263.91x = 395.25 × 209.84
  4. Step 4: Simplify right side
    263.91x = 82,939.26
  5. Step 5: Solve for x
    x = 82,939.26/263.91
  6. Step 6: Final answer
    x = 314.27

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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.