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Finding the Fourth Proportional to 273.96, 410.13 and 165.42

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Solution

The fourth proportional to 273.96, 410.13 and 165.42 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 410.13 = 165.42 : x
  2. Step 2: Convert to fraction form
    273.96/410.13 = 165.42/x
  3. Step 3: Cross multiply
    273.96x = 410.13 × 165.42
  4. Step 4: Simplify right side
    273.96x = 67,843.70
  5. Step 5: Solve for x
    x = 67,843.70/273.96
  6. Step 6: Final answer
    x = 247.64

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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.