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Finding the Fourth Proportional to 263.89, 396.03 and 109.94

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Solution

The fourth proportional to 263.89, 396.03 and 109.94 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.89 : 396.03 = 109.94 : x
  2. Step 2: Convert to fraction form
    263.89/396.03 = 109.94/x
  3. Step 3: Cross multiply
    263.89x = 396.03 × 109.94
  4. Step 4: Simplify right side
    263.89x = 43,539.54
  5. Step 5: Solve for x
    x = 43,539.54/263.89
  6. Step 6: Final answer
    x = 164.99

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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.