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Finding the Fourth Proportional to 226.76, 338.66 and 185.70

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Solution

The fourth proportional to 226.76, 338.66 and 185.70 is: 277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.76 : 338.66 = 185.70 : x
  2. Step 2: Convert to fraction form
    226.76/338.66 = 185.70/x
  3. Step 3: Cross multiply
    226.76x = 338.66 × 185.70
  4. Step 4: Simplify right side
    226.76x = 62,889.16
  5. Step 5: Solve for x
    x = 62,889.16/226.76
  6. Step 6: Final answer
    x = 277.34

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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.