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Finding the Fourth Proportional to 273.10, 409.66 and 110.79

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Solution

The fourth proportional to 273.10, 409.66 and 110.79 is: 166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.10 : 409.66 = 110.79 : x
  2. Step 2: Convert to fraction form
    273.10/409.66 = 110.79/x
  3. Step 3: Cross multiply
    273.10x = 409.66 × 110.79
  4. Step 4: Simplify right side
    273.10x = 45,383.63
  5. Step 5: Solve for x
    x = 45,383.63/273.10
  6. Step 6: Final answer
    x = 166.18

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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.