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Finding the Fourth Proportional to 550.24, 825.71 and 221.14

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Solution

The fourth proportional to 550.24, 825.71 and 221.14 is: 331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.24 : 825.71 = 221.14 : x
  2. Step 2: Convert to fraction form
    550.24/825.71 = 221.14/x
  3. Step 3: Cross multiply
    550.24x = 825.71 × 221.14
  4. Step 4: Simplify right side
    550.24x = 182,597.51
  5. Step 5: Solve for x
    x = 182,597.51/550.24
  6. Step 6: Final answer
    x = 331.85

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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.