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Finding the Fourth Proportional to 550.70, 826.04 and 165.95

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Solution

The fourth proportional to 550.70, 826.04 and 165.95 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.70 : 826.04 = 165.95 : x
  2. Step 2: Convert to fraction form
    550.70/826.04 = 165.95/x
  3. Step 3: Cross multiply
    550.70x = 826.04 × 165.95
  4. Step 4: Simplify right side
    550.70x = 137,076.38
  5. Step 5: Solve for x
    x = 137,076.38/550.70
  6. Step 6: Final answer
    x = 248.92

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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.