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Finding the Fourth Proportional to 227.61, 311.40 and 226.71

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Solution

The fourth proportional to 227.61, 311.40 and 226.71 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.61 : 311.40 = 226.71 : x
  2. Step 2: Convert to fraction form
    227.61/311.40 = 226.71/x
  3. Step 3: Cross multiply
    227.61x = 311.40 × 226.71
  4. Step 4: Simplify right side
    227.61x = 70,597.49
  5. Step 5: Solve for x
    x = 70,597.49/227.61
  6. Step 6: Final answer
    x = 310.17

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Why These Related Problems?

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