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Finding the Fourth Proportional to 273.68, 410.38 and 195.55

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Solution

The fourth proportional to 273.68, 410.38 and 195.55 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.68 : 410.38 = 195.55 : x
  2. Step 2: Convert to fraction form
    273.68/410.38 = 195.55/x
  3. Step 3: Cross multiply
    273.68x = 410.38 × 195.55
  4. Step 4: Simplify right side
    273.68x = 80,249.39
  5. Step 5: Solve for x
    x = 80,249.39/273.68
  6. Step 6: Final answer
    x = 293.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.