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Finding the Fourth Proportional to 273.63, 410.02 and 163.73

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Solution

The fourth proportional to 273.63, 410.02 and 163.73 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.63 : 410.02 = 163.73 : x
  2. Step 2: Convert to fraction form
    273.63/410.02 = 163.73/x
  3. Step 3: Cross multiply
    273.63x = 410.02 × 163.73
  4. Step 4: Simplify right side
    273.63x = 67,132.57
  5. Step 5: Solve for x
    x = 67,132.57/273.63
  6. Step 6: Final answer
    x = 245.34

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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.