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Finding the Fourth Proportional to 271.10, 406.70 and 141.17

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Solution

The fourth proportional to 271.10, 406.70 and 141.17 is: 211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.10 : 406.70 = 141.17 : x
  2. Step 2: Convert to fraction form
    271.10/406.70 = 141.17/x
  3. Step 3: Cross multiply
    271.10x = 406.70 × 141.17
  4. Step 4: Simplify right side
    271.10x = 57,412.38
  5. Step 5: Solve for x
    x = 57,412.38/271.10
  6. Step 6: Final answer
    x = 211.78

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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.