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Finding the Fourth Proportional to 227.19, 313.21 and 160.71

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Solution

The fourth proportional to 227.19, 313.21 and 160.71 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.19 : 313.21 = 160.71 : x
  2. Step 2: Convert to fraction form
    227.19/313.21 = 160.71/x
  3. Step 3: Cross multiply
    227.19x = 313.21 × 160.71
  4. Step 4: Simplify right side
    227.19x = 50,335.98
  5. Step 5: Solve for x
    x = 50,335.98/227.19
  6. Step 6: Final answer
    x = 221.56

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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.