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Finding the Fourth Proportional to 441.74, 662.34 and 167.85

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Solution

The fourth proportional to 441.74, 662.34 and 167.85 is: 251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.74 : 662.34 = 167.85 : x
  2. Step 2: Convert to fraction form
    441.74/662.34 = 167.85/x
  3. Step 3: Cross multiply
    441.74x = 662.34 × 167.85
  4. Step 4: Simplify right side
    441.74x = 111,171.91
  5. Step 5: Solve for x
    x = 111,171.91/441.74
  6. Step 6: Final answer
    x = 251.67

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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.