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Finding the Fourth Proportional to 273.88, 411.06 and 245.14

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Solution

The fourth proportional to 273.88, 411.06 and 245.14 is: 367.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.88 : 411.06 = 245.14 : x
  2. Step 2: Convert to fraction form
    273.88/411.06 = 245.14/x
  3. Step 3: Cross multiply
    273.88x = 411.06 × 245.14
  4. Step 4: Simplify right side
    273.88x = 100,767.25
  5. Step 5: Solve for x
    x = 100,767.25/273.88
  6. Step 6: Final answer
    x = 367.92

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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.