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Finding the Fourth Proportional to 273.13, 409.71 and 110.81

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Solution

The fourth proportional to 273.13, 409.71 and 110.81 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.13 : 409.71 = 110.81 : x
  2. Step 2: Convert to fraction form
    273.13/409.71 = 110.81/x
  3. Step 3: Cross multiply
    273.13x = 409.71 × 110.81
  4. Step 4: Simplify right side
    273.13x = 45,399.97
  5. Step 5: Solve for x
    x = 45,399.97/273.13
  6. Step 6: Final answer
    x = 166.22

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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.