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Finding the Fourth Proportional to 273.12, 411.27 and 201.48

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Solution

The fourth proportional to 273.12, 411.27 and 201.48 is: 303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.12 : 411.27 = 201.48 : x
  2. Step 2: Convert to fraction form
    273.12/411.27 = 201.48/x
  3. Step 3: Cross multiply
    273.12x = 411.27 × 201.48
  4. Step 4: Simplify right side
    273.12x = 82,862.68
  5. Step 5: Solve for x
    x = 82,862.68/273.12
  6. Step 6: Final answer
    x = 303.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.