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Finding the Fourth Proportional to 273.54, 410.34 and 111.21

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Solution

The fourth proportional to 273.54, 410.34 and 111.21 is: 166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.54 : 410.34 = 111.21 : x
  2. Step 2: Convert to fraction form
    273.54/410.34 = 111.21/x
  3. Step 3: Cross multiply
    273.54x = 410.34 × 111.21
  4. Step 4: Simplify right side
    273.54x = 45,633.91
  5. Step 5: Solve for x
    x = 45,633.91/273.54
  6. Step 6: Final answer
    x = 166.83

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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.