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Finding the Fourth Proportional to 266.52, 367.28 and 204.49

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Solution

The fourth proportional to 266.52, 367.28 and 204.49 is: 281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.52 : 367.28 = 204.49 : x
  2. Step 2: Convert to fraction form
    266.52/367.28 = 204.49/x
  3. Step 3: Cross multiply
    266.52x = 367.28 × 204.49
  4. Step 4: Simplify right side
    266.52x = 75,106.44
  5. Step 5: Solve for x
    x = 75,106.44/266.52
  6. Step 6: Final answer
    x = 281.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.