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Finding the Fourth Proportional to 271.10, 405.81 and 205.94

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Solution

The fourth proportional to 271.10, 405.81 and 205.94 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.10 : 405.81 = 205.94 : x
  2. Step 2: Convert to fraction form
    271.10/405.81 = 205.94/x
  3. Step 3: Cross multiply
    271.10x = 405.81 × 205.94
  4. Step 4: Simplify right side
    271.10x = 83,573.53
  5. Step 5: Solve for x
    x = 83,573.53/271.10
  6. Step 6: Final answer
    x = 308.28

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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.