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Finding the Fourth Proportional to 226.19, 337.41 and 208.98

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Solution

The fourth proportional to 226.19, 337.41 and 208.98 is: 311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.19 : 337.41 = 208.98 : x
  2. Step 2: Convert to fraction form
    226.19/337.41 = 208.98/x
  3. Step 3: Cross multiply
    226.19x = 337.41 × 208.98
  4. Step 4: Simplify right side
    226.19x = 70,511.94
  5. Step 5: Solve for x
    x = 70,511.94/226.19
  6. Step 6: Final answer
    x = 311.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.