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Finding the Fourth Proportional to 225.99, 311.28 and 225.66

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Solution

The fourth proportional to 225.99, 311.28 and 225.66 is: 310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.99 : 311.28 = 225.66 : x
  2. Step 2: Convert to fraction form
    225.99/311.28 = 225.66/x
  3. Step 3: Cross multiply
    225.99x = 311.28 × 225.66
  4. Step 4: Simplify right side
    225.99x = 70,243.44
  5. Step 5: Solve for x
    x = 70,243.44/225.99
  6. Step 6: Final answer
    x = 310.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.