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Finding the Fourth Proportional to 263.08, 394.92 and 209.62

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Solution

The fourth proportional to 263.08, 394.92 and 209.62 is: 314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.08 : 394.92 = 209.62 : x
  2. Step 2: Convert to fraction form
    263.08/394.92 = 209.62/x
  3. Step 3: Cross multiply
    263.08x = 394.92 × 209.62
  4. Step 4: Simplify right side
    263.08x = 82,783.13
  5. Step 5: Solve for x
    x = 82,783.13/263.08
  6. Step 6: Final answer
    x = 314.67

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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.