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Finding the Fourth Proportional to 227.56, 313.72 and 161.95

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Solution

The fourth proportional to 227.56, 313.72 and 161.95 is: 223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.56 : 313.72 = 161.95 : x
  2. Step 2: Convert to fraction form
    227.56/313.72 = 161.95/x
  3. Step 3: Cross multiply
    227.56x = 313.72 × 161.95
  4. Step 4: Simplify right side
    227.56x = 50,806.95
  5. Step 5: Solve for x
    x = 50,806.95/227.56
  6. Step 6: Final answer
    x = 223.27

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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.