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Finding the Fourth Proportional to 226.82, 313.19 and 160.69

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Solution

The fourth proportional to 226.82, 313.19 and 160.69 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.82 : 313.19 = 160.69 : x
  2. Step 2: Convert to fraction form
    226.82/313.19 = 160.69/x
  3. Step 3: Cross multiply
    226.82x = 313.19 × 160.69
  4. Step 4: Simplify right side
    226.82x = 50,326.75
  5. Step 5: Solve for x
    x = 50,326.75/226.82
  6. Step 6: Final answer
    x = 221.88

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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.