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Finding the Fourth Proportional to 273.32, 410.12 and 196.30

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Solution

The fourth proportional to 273.32, 410.12 and 196.30 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.32 : 410.12 = 196.30 : x
  2. Step 2: Convert to fraction form
    273.32/410.12 = 196.30/x
  3. Step 3: Cross multiply
    273.32x = 410.12 × 196.30
  4. Step 4: Simplify right side
    273.32x = 80,506.56
  5. Step 5: Solve for x
    x = 80,506.56/273.32
  6. Step 6: Final answer
    x = 294.55

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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.