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Finding the Fourth Proportional to 550.95, 826.41 and 166.20

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Solution

The fourth proportional to 550.95, 826.41 and 166.20 is: 249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.95 : 826.41 = 166.20 : x
  2. Step 2: Convert to fraction form
    550.95/826.41 = 166.20/x
  3. Step 3: Cross multiply
    550.95x = 826.41 × 166.20
  4. Step 4: Simplify right side
    550.95x = 137,345.21
  5. Step 5: Solve for x
    x = 137,345.21/550.95
  6. Step 6: Final answer
    x = 249.29

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Double scale
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Similar ratio
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1.5x scale

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.