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Finding the Fourth Proportional to 273.25, 409.89 and 110.83

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Solution

The fourth proportional to 273.25, 409.89 and 110.83 is: 166.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.25 : 409.89 = 110.83 : x
  2. Step 2: Convert to fraction form
    273.25/409.89 = 110.83/x
  3. Step 3: Cross multiply
    273.25x = 409.89 × 110.83
  4. Step 4: Simplify right side
    273.25x = 45,428.11
  5. Step 5: Solve for x
    x = 45,428.11/273.25
  6. Step 6: Final answer
    x = 166.25

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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.