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Finding the Fourth Proportional to 551.86, 827.91 and 200.38

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Solution

The fourth proportional to 551.86, 827.91 and 200.38 is: 300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.86 : 827.91 = 200.38 : x
  2. Step 2: Convert to fraction form
    551.86/827.91 = 200.38/x
  3. Step 3: Cross multiply
    551.86x = 827.91 × 200.38
  4. Step 4: Simplify right side
    551.86x = 165,896.61
  5. Step 5: Solve for x
    x = 165,896.61/551.86
  6. Step 6: Final answer
    x = 300.61

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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.