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Finding the Fourth Proportional to 300.96, 451.05 and 163.71

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Solution

The fourth proportional to 300.96, 451.05 and 163.71 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.96 : 451.05 = 163.71 : x
  2. Step 2: Convert to fraction form
    300.96/451.05 = 163.71/x
  3. Step 3: Cross multiply
    300.96x = 451.05 × 163.71
  4. Step 4: Simplify right side
    300.96x = 73,841.40
  5. Step 5: Solve for x
    x = 73,841.40/300.96
  6. Step 6: Final answer
    x = 245.36

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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.