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Finding the Fourth Proportional to 273.29, 409.93 and 80.91

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Solution

The fourth proportional to 273.29, 409.93 and 80.91 is: 121.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.29 : 409.93 = 80.91 : x
  2. Step 2: Convert to fraction form
    273.29/409.93 = 80.91/x
  3. Step 3: Cross multiply
    273.29x = 409.93 × 80.91
  4. Step 4: Simplify right side
    273.29x = 33,167.03
  5. Step 5: Solve for x
    x = 33,167.03/273.29
  6. Step 6: Final answer
    x = 121.36

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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.