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Finding the Fourth Proportional to 271.05, 406.70 and 97.85

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Solution

The fourth proportional to 271.05, 406.70 and 97.85 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.05 : 406.70 = 97.85 : x
  2. Step 2: Convert to fraction form
    271.05/406.70 = 97.85/x
  3. Step 3: Cross multiply
    271.05x = 406.70 × 97.85
  4. Step 4: Simplify right side
    271.05x = 39,796.55
  5. Step 5: Solve for x
    x = 39,796.55/271.05
  6. Step 6: Final answer
    x = 146.83

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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.