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Finding the Fourth Proportional to 271.87, 406.98 and 251.62

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Solution

The fourth proportional to 271.87, 406.98 and 251.62 is: 376.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.87 : 406.98 = 251.62 : x
  2. Step 2: Convert to fraction form
    271.87/406.98 = 251.62/x
  3. Step 3: Cross multiply
    271.87x = 406.98 × 251.62
  4. Step 4: Simplify right side
    271.87x = 102,404.31
  5. Step 5: Solve for x
    x = 102,404.31/271.87
  6. Step 6: Final answer
    x = 376.67

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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.