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Finding the Fourth Proportional to 550.82, 826.30 and 185.66

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Solution

The fourth proportional to 550.82, 826.30 and 185.66 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.82 : 826.30 = 185.66 : x
  2. Step 2: Convert to fraction form
    550.82/826.30 = 185.66/x
  3. Step 3: Cross multiply
    550.82x = 826.30 × 185.66
  4. Step 4: Simplify right side
    550.82x = 153,410.86
  5. Step 5: Solve for x
    x = 153,410.86/550.82
  6. Step 6: Final answer
    x = 278.51

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Double scale
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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.