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Finding the Fourth Proportional to 550.89, 826.32 and 166.14

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Solution

The fourth proportional to 550.89, 826.32 and 166.14 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.89 : 826.32 = 166.14 : x
  2. Step 2: Convert to fraction form
    550.89/826.32 = 166.14/x
  3. Step 3: Cross multiply
    550.89x = 826.32 × 166.14
  4. Step 4: Simplify right side
    550.89x = 137,284.80
  5. Step 5: Solve for x
    x = 137,284.80/550.89
  6. Step 6: Final answer
    x = 249.21

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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.