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Finding the Fourth Proportional to 550.62, 825.93 and 225.99

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Solution

The fourth proportional to 550.62, 825.93 and 225.99 is: 338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.62 : 825.93 = 225.99 : x
  2. Step 2: Convert to fraction form
    550.62/825.93 = 225.99/x
  3. Step 3: Cross multiply
    550.62x = 825.93 × 225.99
  4. Step 4: Simplify right side
    550.62x = 186,651.92
  5. Step 5: Solve for x
    x = 186,651.92/550.62
  6. Step 6: Final answer
    x = 338.99

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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.