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Finding the Fourth Proportional to 550.46, 825.78 and 225.80

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Solution

The fourth proportional to 550.46, 825.78 and 225.80 is: 338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.46 : 825.78 = 225.80 : x
  2. Step 2: Convert to fraction form
    550.46/825.78 = 225.80/x
  3. Step 3: Cross multiply
    550.46x = 825.78 × 225.80
  4. Step 4: Simplify right side
    550.46x = 186,461.12
  5. Step 5: Solve for x
    x = 186,461.12/550.46
  6. Step 6: Final answer
    x = 338.74

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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.