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Finding the Fourth Proportional to 273.77, 410.19 and 165.33

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Solution

The fourth proportional to 273.77, 410.19 and 165.33 is: 247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.77 : 410.19 = 165.33 : x
  2. Step 2: Convert to fraction form
    273.77/410.19 = 165.33/x
  3. Step 3: Cross multiply
    273.77x = 410.19 × 165.33
  4. Step 4: Simplify right side
    273.77x = 67,816.09
  5. Step 5: Solve for x
    x = 67,816.09/273.77
  6. Step 6: Final answer
    x = 247.71

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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.