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Finding the Fourth Proportional to 550.84, 826.26 and 166.12

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Solution

The fourth proportional to 550.84, 826.26 and 166.12 is: 249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.84 : 826.26 = 166.12 : x
  2. Step 2: Convert to fraction form
    550.84/826.26 = 166.12/x
  3. Step 3: Cross multiply
    550.84x = 826.26 × 166.12
  4. Step 4: Simplify right side
    550.84x = 137,258.31
  5. Step 5: Solve for x
    x = 137,258.31/550.84
  6. Step 6: Final answer
    x = 249.18

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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.