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Finding the Fourth Proportional to 269.42, 403.23 and 200.78

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Solution

The fourth proportional to 269.42, 403.23 and 200.78 is: 300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.42 : 403.23 = 200.78 : x
  2. Step 2: Convert to fraction form
    269.42/403.23 = 200.78/x
  3. Step 3: Cross multiply
    269.42x = 403.23 × 200.78
  4. Step 4: Simplify right side
    269.42x = 80,960.52
  5. Step 5: Solve for x
    x = 80,960.52/269.42
  6. Step 6: Final answer
    x = 300.50

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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.