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Finding the Fourth Proportional to 272.27, 407.78 and 163.83

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Solution

The fourth proportional to 272.27, 407.78 and 163.83 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.27 : 407.78 = 163.83 : x
  2. Step 2: Convert to fraction form
    272.27/407.78 = 163.83/x
  3. Step 3: Cross multiply
    272.27x = 407.78 × 163.83
  4. Step 4: Simplify right side
    272.27x = 66,806.60
  5. Step 5: Solve for x
    x = 66,806.60/272.27
  6. Step 6: Final answer
    x = 245.37

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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.