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Finding the Fourth Proportional to 271.67, 406.73 and 147.82

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Solution

The fourth proportional to 271.67, 406.73 and 147.82 is: 221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.67 : 406.73 = 147.82 : x
  2. Step 2: Convert to fraction form
    271.67/406.73 = 147.82/x
  3. Step 3: Cross multiply
    271.67x = 406.73 × 147.82
  4. Step 4: Simplify right side
    271.67x = 60,122.94
  5. Step 5: Solve for x
    x = 60,122.94/271.67
  6. Step 6: Final answer
    x = 221.31

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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.