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Finding the Fourth Proportional to 266.82, 400.57 and 205.99

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Solution

The fourth proportional to 266.82, 400.57 and 205.99 is: 309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.82 : 400.57 = 205.99 : x
  2. Step 2: Convert to fraction form
    266.82/400.57 = 205.99/x
  3. Step 3: Cross multiply
    266.82x = 400.57 × 205.99
  4. Step 4: Simplify right side
    266.82x = 82,513.41
  5. Step 5: Solve for x
    x = 82,513.41/266.82
  6. Step 6: Final answer
    x = 309.25

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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.