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Finding the Fourth Proportional to 441.84, 662.25 and 167.78

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Solution

The fourth proportional to 441.84, 662.25 and 167.78 is: 251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.84 : 662.25 = 167.78 : x
  2. Step 2: Convert to fraction form
    441.84/662.25 = 167.78/x
  3. Step 3: Cross multiply
    441.84x = 662.25 × 167.78
  4. Step 4: Simplify right side
    441.84x = 111,115.05
  5. Step 5: Solve for x
    x = 111,115.05/441.84
  6. Step 6: Final answer
    x = 251.48

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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.