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Finding the Fourth Proportional to 550.82, 826.23 and 221.91

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Solution

The fourth proportional to 550.82, 826.23 and 221.91 is: 332.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.82 : 826.23 = 221.91 : x
  2. Step 2: Convert to fraction form
    550.82/826.23 = 221.91/x
  3. Step 3: Cross multiply
    550.82x = 826.23 × 221.91
  4. Step 4: Simplify right side
    550.82x = 183,348.70
  5. Step 5: Solve for x
    x = 183,348.70/550.82
  6. Step 6: Final answer
    x = 332.87

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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.