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Finding the Fourth Proportional to 449.34, 674.04 and 160.71

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Solution

The fourth proportional to 449.34, 674.04 and 160.71 is: 241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 674.04 = 160.71 : x
  2. Step 2: Convert to fraction form
    449.34/674.04 = 160.71/x
  3. Step 3: Cross multiply
    449.34x = 674.04 × 160.71
  4. Step 4: Simplify right side
    449.34x = 108,324.97
  5. Step 5: Solve for x
    x = 108,324.97/449.34
  6. Step 6: Final answer
    x = 241.08

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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.