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Finding the Fourth Proportional to 227.21, 311.54 and 221.75

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Solution

The fourth proportional to 227.21, 311.54 and 221.75 is: 304.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.21 : 311.54 = 221.75 : x
  2. Step 2: Convert to fraction form
    227.21/311.54 = 221.75/x
  3. Step 3: Cross multiply
    227.21x = 311.54 × 221.75
  4. Step 4: Simplify right side
    227.21x = 69,082.99
  5. Step 5: Solve for x
    x = 69,082.99/227.21
  6. Step 6: Final answer
    x = 304.05

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.