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Finding the Fourth Proportional to 226.91, 313.13 and 163.91

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Solution

The fourth proportional to 226.91, 313.13 and 163.91 is: 226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.91 : 313.13 = 163.91 : x
  2. Step 2: Convert to fraction form
    226.91/313.13 = 163.91/x
  3. Step 3: Cross multiply
    226.91x = 313.13 × 163.91
  4. Step 4: Simplify right side
    226.91x = 51,326.33
  5. Step 5: Solve for x
    x = 51,326.33/226.91
  6. Step 6: Final answer
    x = 226.19

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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.