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Finding the Fourth Proportional to 264.26, 398.39 and 226.06

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Solution

The fourth proportional to 264.26, 398.39 and 226.06 is: 340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.26 : 398.39 = 226.06 : x
  2. Step 2: Convert to fraction form
    264.26/398.39 = 226.06/x
  3. Step 3: Cross multiply
    264.26x = 398.39 × 226.06
  4. Step 4: Simplify right side
    264.26x = 90,057.92
  5. Step 5: Solve for x
    x = 90,057.92/264.26
  6. Step 6: Final answer
    x = 340.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.