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Finding the Fourth Proportional to 300.45, 449.74 and 163.16

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Solution

The fourth proportional to 300.45, 449.74 and 163.16 is: 244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.45 : 449.74 = 163.16 : x
  2. Step 2: Convert to fraction form
    300.45/449.74 = 163.16/x
  3. Step 3: Cross multiply
    300.45x = 449.74 × 163.16
  4. Step 4: Simplify right side
    300.45x = 73,377.33
  5. Step 5: Solve for x
    x = 73,377.33/300.45
  6. Step 6: Final answer
    x = 244.22

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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.