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Finding the Fourth Proportional to 273.79, 410.71 and 109.22

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Solution

The fourth proportional to 273.79, 410.71 and 109.22 is: 163.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.79 : 410.71 = 109.22 : x
  2. Step 2: Convert to fraction form
    273.79/410.71 = 109.22/x
  3. Step 3: Cross multiply
    273.79x = 410.71 × 109.22
  4. Step 4: Simplify right side
    273.79x = 44,855.15
  5. Step 5: Solve for x
    x = 44,855.15/273.79
  6. Step 6: Final answer
    x = 163.83

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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.