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Finding the Fourth Proportional to 263.48, 394.86 and 209.54

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Solution

The fourth proportional to 263.48, 394.86 and 209.54 is: 314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.48 : 394.86 = 209.54 : x
  2. Step 2: Convert to fraction form
    263.48/394.86 = 209.54/x
  3. Step 3: Cross multiply
    263.48x = 394.86 × 209.54
  4. Step 4: Simplify right side
    263.48x = 82,738.96
  5. Step 5: Solve for x
    x = 82,738.96/263.48
  6. Step 6: Final answer
    x = 314.02

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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.