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Finding the Fourth Proportional to 266.82, 400.29 and 192.78

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Solution

The fourth proportional to 266.82, 400.29 and 192.78 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.82 : 400.29 = 192.78 : x
  2. Step 2: Convert to fraction form
    266.82/400.29 = 192.78/x
  3. Step 3: Cross multiply
    266.82x = 400.29 × 192.78
  4. Step 4: Simplify right side
    266.82x = 77,167.91
  5. Step 5: Solve for x
    x = 77,167.91/266.82
  6. Step 6: Final answer
    x = 289.21

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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.