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Finding the Fourth Proportional to 227.42, 313.16 and 222.31

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Solution

The fourth proportional to 227.42, 313.16 and 222.31 is: 306.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 313.16 = 222.31 : x
  2. Step 2: Convert to fraction form
    227.42/313.16 = 222.31/x
  3. Step 3: Cross multiply
    227.42x = 313.16 × 222.31
  4. Step 4: Simplify right side
    227.42x = 69,618.60
  5. Step 5: Solve for x
    x = 69,618.60/227.42
  6. Step 6: Final answer
    x = 306.12

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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.