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Finding the Fourth Proportional to 271.81, 406.91 and 268.21

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Solution

The fourth proportional to 271.81, 406.91 and 268.21 is: 401.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.81 : 406.91 = 268.21 : x
  2. Step 2: Convert to fraction form
    271.81/406.91 = 268.21/x
  3. Step 3: Cross multiply
    271.81x = 406.91 × 268.21
  4. Step 4: Simplify right side
    271.81x = 109,137.33
  5. Step 5: Solve for x
    x = 109,137.33/271.81
  6. Step 6: Final answer
    x = 401.52

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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.