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Finding the Fourth Proportional to 273.97, 409.91 and 165.82

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Solution

The fourth proportional to 273.97, 409.91 and 165.82 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.97 : 409.91 = 165.82 : x
  2. Step 2: Convert to fraction form
    273.97/409.91 = 165.82/x
  3. Step 3: Cross multiply
    273.97x = 409.91 × 165.82
  4. Step 4: Simplify right side
    273.97x = 67,970.45
  5. Step 5: Solve for x
    x = 67,970.45/273.97
  6. Step 6: Final answer
    x = 248.09

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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.