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Finding the Fourth Proportional to 271.10, 406.41 and 97.73

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Solution

The fourth proportional to 271.10, 406.41 and 97.73 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.10 : 406.41 = 97.73 : x
  2. Step 2: Convert to fraction form
    271.10/406.41 = 97.73/x
  3. Step 3: Cross multiply
    271.10x = 406.41 × 97.73
  4. Step 4: Simplify right side
    271.10x = 39,718.34
  5. Step 5: Solve for x
    x = 39,718.34/271.10
  6. Step 6: Final answer
    x = 146.51

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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.