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Finding the Fourth Proportional to 273.52, 409.97 and 119.42

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Solution

The fourth proportional to 273.52, 409.97 and 119.42 is: 178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.52 : 409.97 = 119.42 : x
  2. Step 2: Convert to fraction form
    273.52/409.97 = 119.42/x
  3. Step 3: Cross multiply
    273.52x = 409.97 × 119.42
  4. Step 4: Simplify right side
    273.52x = 48,958.02
  5. Step 5: Solve for x
    x = 48,958.02/273.52
  6. Step 6: Final answer
    x = 178.99

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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.