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Finding the Fourth Proportional to 441.83, 662.83 and 167.95

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Solution

The fourth proportional to 441.83, 662.83 and 167.95 is: 251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.83 : 662.83 = 167.95 : x
  2. Step 2: Convert to fraction form
    441.83/662.83 = 167.95/x
  3. Step 3: Cross multiply
    441.83x = 662.83 × 167.95
  4. Step 4: Simplify right side
    441.83x = 111,321.79
  5. Step 5: Solve for x
    x = 111,321.79/441.83
  6. Step 6: Final answer
    x = 251.96

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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.