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Finding the Fourth Proportional to 227.21, 339.80 and 201.69

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Solution

The fourth proportional to 227.21, 339.80 and 201.69 is: 301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.21 : 339.80 = 201.69 : x
  2. Step 2: Convert to fraction form
    227.21/339.80 = 201.69/x
  3. Step 3: Cross multiply
    227.21x = 339.80 × 201.69
  4. Step 4: Simplify right side
    227.21x = 68,533.25
  5. Step 5: Solve for x
    x = 68,533.25/227.21
  6. Step 6: Final answer
    x = 301.64

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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.