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Finding the Fourth Proportional to 273.56, 410.38 and 109.04

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Solution

The fourth proportional to 273.56, 410.38 and 109.04 is: 163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.56 : 410.38 = 109.04 : x
  2. Step 2: Convert to fraction form
    273.56/410.38 = 109.04/x
  3. Step 3: Cross multiply
    273.56x = 410.38 × 109.04
  4. Step 4: Simplify right side
    273.56x = 44,745.51
  5. Step 5: Solve for x
    x = 44,745.51/273.56
  6. Step 6: Final answer
    x = 163.57

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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.