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Finding the Fourth Proportional to 268.71, 403.20 and 200.82

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Solution

The fourth proportional to 268.71, 403.20 and 200.82 is: 301.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 403.20 = 200.82 : x
  2. Step 2: Convert to fraction form
    268.71/403.20 = 200.82/x
  3. Step 3: Cross multiply
    268.71x = 403.20 × 200.82
  4. Step 4: Simplify right side
    268.71x = 80,970.62
  5. Step 5: Solve for x
    x = 80,970.62/268.71
  6. Step 6: Final answer
    x = 301.33

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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.