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Finding the Fourth Proportional to 271.56, 406.89 and 149.93

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Solution

The fourth proportional to 271.56, 406.89 and 149.93 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.56 : 406.89 = 149.93 : x
  2. Step 2: Convert to fraction form
    271.56/406.89 = 149.93/x
  3. Step 3: Cross multiply
    271.56x = 406.89 × 149.93
  4. Step 4: Simplify right side
    271.56x = 61,002.98
  5. Step 5: Solve for x
    x = 61,002.98/271.56
  6. Step 6: Final answer
    x = 224.64

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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.