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Finding the Fourth Proportional to 271.39, 406.74 and 149.50

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Solution

The fourth proportional to 271.39, 406.74 and 149.50 is: 224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.39 : 406.74 = 149.50 : x
  2. Step 2: Convert to fraction form
    271.39/406.74 = 149.50/x
  3. Step 3: Cross multiply
    271.39x = 406.74 × 149.50
  4. Step 4: Simplify right side
    271.39x = 60,807.63
  5. Step 5: Solve for x
    x = 60,807.63/271.39
  6. Step 6: Final answer
    x = 224.06

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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.