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Finding the Fourth Proportional to 273.30, 409.97 and 110.99

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Solution

The fourth proportional to 273.30, 409.97 and 110.99 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.30 : 409.97 = 110.99 : x
  2. Step 2: Convert to fraction form
    273.30/409.97 = 110.99/x
  3. Step 3: Cross multiply
    273.30x = 409.97 × 110.99
  4. Step 4: Simplify right side
    273.30x = 45,499.97
  5. Step 5: Solve for x
    x = 45,499.97/273.30
  6. Step 6: Final answer
    x = 166.48

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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.