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Finding the Fourth Proportional to 382.93, 575.20 and 200.27

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Solution

The fourth proportional to 382.93, 575.20 and 200.27 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.93 : 575.20 = 200.27 : x
  2. Step 2: Convert to fraction form
    382.93/575.20 = 200.27/x
  3. Step 3: Cross multiply
    382.93x = 575.20 × 200.27
  4. Step 4: Simplify right side
    382.93x = 115,196.99
  5. Step 5: Solve for x
    x = 115,196.99/382.93
  6. Step 6: Final answer
    x = 300.83

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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.