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Finding the Fourth Proportional to 449.32, 674.06 and 160.96

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Solution

The fourth proportional to 449.32, 674.06 and 160.96 is: 241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.32 : 674.06 = 160.96 : x
  2. Step 2: Convert to fraction form
    449.32/674.06 = 160.96/x
  3. Step 3: Cross multiply
    449.32x = 674.06 × 160.96
  4. Step 4: Simplify right side
    449.32x = 108,496.70
  5. Step 5: Solve for x
    x = 108,496.70/449.32
  6. Step 6: Final answer
    x = 241.47

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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.