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Finding the Fourth Proportional to 266.52, 399.76 and 136.56

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Solution

The fourth proportional to 266.52, 399.76 and 136.56 is: 204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.52 : 399.76 = 136.56 : x
  2. Step 2: Convert to fraction form
    266.52/399.76 = 136.56/x
  3. Step 3: Cross multiply
    266.52x = 399.76 × 136.56
  4. Step 4: Simplify right side
    266.52x = 54,591.23
  5. Step 5: Solve for x
    x = 54,591.23/266.52
  6. Step 6: Final answer
    x = 204.83

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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.