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Finding the Fourth Proportional to 449.73, 674.64 and 161.15

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Solution

The fourth proportional to 449.73, 674.64 and 161.15 is: 241.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.73 : 674.64 = 161.15 : x
  2. Step 2: Convert to fraction form
    449.73/674.64 = 161.15/x
  3. Step 3: Cross multiply
    449.73x = 674.64 × 161.15
  4. Step 4: Simplify right side
    449.73x = 108,714.86
  5. Step 5: Solve for x
    x = 108,714.86/449.73
  6. Step 6: Final answer
    x = 241.73

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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.