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Finding the Fourth Proportional to 550.05, 825.15 and 225.33

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Solution

The fourth proportional to 550.05, 825.15 and 225.33 is: 338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.05 : 825.15 = 225.33 : x
  2. Step 2: Convert to fraction form
    550.05/825.15 = 225.33/x
  3. Step 3: Cross multiply
    550.05x = 825.15 × 225.33
  4. Step 4: Simplify right side
    550.05x = 185,931.05
  5. Step 5: Solve for x
    x = 185,931.05/550.05
  6. Step 6: Final answer
    x = 338.03

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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.