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Finding the Fourth Proportional to 550.45, 825.83 and 226.05

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Solution

The fourth proportional to 550.45, 825.83 and 226.05 is: 339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.45 : 825.83 = 226.05 : x
  2. Step 2: Convert to fraction form
    550.45/825.83 = 226.05/x
  3. Step 3: Cross multiply
    550.45x = 825.83 × 226.05
  4. Step 4: Simplify right side
    550.45x = 186,678.87
  5. Step 5: Solve for x
    x = 186,678.87/550.45
  6. Step 6: Final answer
    x = 339.14

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Why These Related Problems?

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