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Finding the Fourth Proportional to 226.98, 313.05 and 160.82

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Solution

The fourth proportional to 226.98, 313.05 and 160.82 is: 221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.98 : 313.05 = 160.82 : x
  2. Step 2: Convert to fraction form
    226.98/313.05 = 160.82/x
  3. Step 3: Cross multiply
    226.98x = 313.05 × 160.82
  4. Step 4: Simplify right side
    226.98x = 50,344.70
  5. Step 5: Solve for x
    x = 50,344.70/226.98
  6. Step 6: Final answer
    x = 221.80

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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.