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Finding the Fourth Proportional to 227.04, 311.60 and 227.04

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Solution

The fourth proportional to 227.04, 311.60 and 227.04 is: 311.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 311.60 = 227.04 : x
  2. Step 2: Convert to fraction form
    227.04/311.60 = 227.04/x
  3. Step 3: Cross multiply
    227.04x = 311.60 × 227.04
  4. Step 4: Simplify right side
    227.04x = 70,745.66
  5. Step 5: Solve for x
    x = 70,745.66/227.04
  6. Step 6: Final answer
    x = 311.60

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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.