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Finding the Fourth Proportional to 449.66, 674.50 and 161.12

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Solution

The fourth proportional to 449.66, 674.50 and 161.12 is: 241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.66 : 674.50 = 161.12 : x
  2. Step 2: Convert to fraction form
    449.66/674.50 = 161.12/x
  3. Step 3: Cross multiply
    449.66x = 674.50 × 161.12
  4. Step 4: Simplify right side
    449.66x = 108,675.44
  5. Step 5: Solve for x
    x = 108,675.44/449.66
  6. Step 6: Final answer
    x = 241.68

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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.