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Finding the Fourth Proportional to 271.50, 406.85 and 179.97

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Solution

The fourth proportional to 271.50, 406.85 and 179.97 is: 269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.50 : 406.85 = 179.97 : x
  2. Step 2: Convert to fraction form
    271.50/406.85 = 179.97/x
  3. Step 3: Cross multiply
    271.50x = 406.85 × 179.97
  4. Step 4: Simplify right side
    271.50x = 73,219.89
  5. Step 5: Solve for x
    x = 73,219.89/271.50
  6. Step 6: Final answer
    x = 269.69

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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.