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Finding the Fourth Proportional to 271.72, 407.42 and 149.97

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Solution

The fourth proportional to 271.72, 407.42 and 149.97 is: 224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.72 : 407.42 = 149.97 : x
  2. Step 2: Convert to fraction form
    271.72/407.42 = 149.97/x
  3. Step 3: Cross multiply
    271.72x = 407.42 × 149.97
  4. Step 4: Simplify right side
    271.72x = 61,100.78
  5. Step 5: Solve for x
    x = 61,100.78/271.72
  6. Step 6: Final answer
    x = 224.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.