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Finding the Fourth Proportional to 273.23, 409.80 and 80.81

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Solution

The fourth proportional to 273.23, 409.80 and 80.81 is: 121.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.23 : 409.80 = 80.81 : x
  2. Step 2: Convert to fraction form
    273.23/409.80 = 80.81/x
  3. Step 3: Cross multiply
    273.23x = 409.80 × 80.81
  4. Step 4: Simplify right side
    273.23x = 33,115.94
  5. Step 5: Solve for x
    x = 33,115.94/273.23
  6. Step 6: Final answer
    x = 121.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.