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Finding the Fourth Proportional to 226.59, 338.34 and 186.09

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Solution

The fourth proportional to 226.59, 338.34 and 186.09 is: 277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.59 : 338.34 = 186.09 : x
  2. Step 2: Convert to fraction form
    226.59/338.34 = 186.09/x
  3. Step 3: Cross multiply
    226.59x = 338.34 × 186.09
  4. Step 4: Simplify right side
    226.59x = 62,961.69
  5. Step 5: Solve for x
    x = 62,961.69/226.59
  6. Step 6: Final answer
    x = 277.87

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