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Finding the Fourth Proportional to 271.60, 406.41 and 149.98

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Solution

The fourth proportional to 271.60, 406.41 and 149.98 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.60 : 406.41 = 149.98 : x
  2. Step 2: Convert to fraction form
    271.60/406.41 = 149.98/x
  3. Step 3: Cross multiply
    271.60x = 406.41 × 149.98
  4. Step 4: Simplify right side
    271.60x = 60,953.37
  5. Step 5: Solve for x
    x = 60,953.37/271.60
  6. Step 6: Final answer
    x = 224.42

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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.