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Finding the Fourth Proportional to 273.72, 412.44 and 220.88

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Solution

The fourth proportional to 273.72, 412.44 and 220.88 is: 332.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.72 : 412.44 = 220.88 : x
  2. Step 2: Convert to fraction form
    273.72/412.44 = 220.88/x
  3. Step 3: Cross multiply
    273.72x = 412.44 × 220.88
  4. Step 4: Simplify right side
    273.72x = 91,099.75
  5. Step 5: Solve for x
    x = 91,099.75/273.72
  6. Step 6: Final answer
    x = 332.82

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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.