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Finding the Fourth Proportional to 271.18, 406.49 and 141.02

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Solution

The fourth proportional to 271.18, 406.49 and 141.02 is: 211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.18 : 406.49 = 141.02 : x
  2. Step 2: Convert to fraction form
    271.18/406.49 = 141.02/x
  3. Step 3: Cross multiply
    271.18x = 406.49 × 141.02
  4. Step 4: Simplify right side
    271.18x = 57,323.22
  5. Step 5: Solve for x
    x = 57,323.22/271.18
  6. Step 6: Final answer
    x = 211.38

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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.