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Finding the Fourth Proportional to 263.86, 396.09 and 119.68

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Solution

The fourth proportional to 263.86, 396.09 and 119.68 is: 179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.86 : 396.09 = 119.68 : x
  2. Step 2: Convert to fraction form
    263.86/396.09 = 119.68/x
  3. Step 3: Cross multiply
    263.86x = 396.09 × 119.68
  4. Step 4: Simplify right side
    263.86x = 47,403.06
  5. Step 5: Solve for x
    x = 47,403.06/263.86
  6. Step 6: Final answer
    x = 179.65

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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.