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Finding the Fourth Proportional to 271.89, 374.89 and 206.28

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Solution

The fourth proportional to 271.89, 374.89 and 206.28 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.89 : 374.89 = 206.28 : x
  2. Step 2: Convert to fraction form
    271.89/374.89 = 206.28/x
  3. Step 3: Cross multiply
    271.89x = 374.89 × 206.28
  4. Step 4: Simplify right side
    271.89x = 77,331.28
  5. Step 5: Solve for x
    x = 77,331.28/271.89
  6. Step 6: Final answer
    x = 284.42

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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.