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Finding the Fourth Proportional to 550.90, 826.14 and 226.18

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Solution

The fourth proportional to 550.90, 826.14 and 226.18 is: 339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.90 : 826.14 = 226.18 : x
  2. Step 2: Convert to fraction form
    550.90/826.14 = 226.18/x
  3. Step 3: Cross multiply
    550.90x = 826.14 × 226.18
  4. Step 4: Simplify right side
    550.90x = 186,856.35
  5. Step 5: Solve for x
    x = 186,856.35/550.90
  6. Step 6: Final answer
    x = 339.18

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