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Finding the Fourth Proportional to 227.26, 312.72 and 225.84

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Solution

The fourth proportional to 227.26, 312.72 and 225.84 is: 310.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.26 : 312.72 = 225.84 : x
  2. Step 2: Convert to fraction form
    227.26/312.72 = 225.84/x
  3. Step 3: Cross multiply
    227.26x = 312.72 × 225.84
  4. Step 4: Simplify right side
    227.26x = 70,624.68
  5. Step 5: Solve for x
    x = 70,624.68/227.26
  6. Step 6: Final answer
    x = 310.77

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Why These Related Problems?

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