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Finding the Fourth Proportional to 226.98, 340.49 and 72.85

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Solution

The fourth proportional to 226.98, 340.49 and 72.85 is: 109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.98 : 340.49 = 72.85 : x
  2. Step 2: Convert to fraction form
    226.98/340.49 = 72.85/x
  3. Step 3: Cross multiply
    226.98x = 340.49 × 72.85
  4. Step 4: Simplify right side
    226.98x = 24,804.70
  5. Step 5: Solve for x
    x = 24,804.70/226.98
  6. Step 6: Final answer
    x = 109.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.