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Finding the Fourth Proportional to 449.71, 674.57 and 161.14

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Solution

The fourth proportional to 449.71, 674.57 and 161.14 is: 241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.71 : 674.57 = 161.14 : x
  2. Step 2: Convert to fraction form
    449.71/674.57 = 161.14/x
  3. Step 3: Cross multiply
    449.71x = 674.57 × 161.14
  4. Step 4: Simplify right side
    449.71x = 108,700.21
  5. Step 5: Solve for x
    x = 108,700.21/449.71
  6. Step 6: Final answer
    x = 241.71

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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.