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Finding the Fourth Proportional to 271.10, 406.08 and 141.09

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Solution

The fourth proportional to 271.10, 406.08 and 141.09 is: 211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.10 : 406.08 = 141.09 : x
  2. Step 2: Convert to fraction form
    271.10/406.08 = 141.09/x
  3. Step 3: Cross multiply
    271.10x = 406.08 × 141.09
  4. Step 4: Simplify right side
    271.10x = 57,293.83
  5. Step 5: Solve for x
    x = 57,293.83/271.10
  6. Step 6: Final answer
    x = 211.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.