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Finding the Fourth Proportional to 271.41, 407.31 and 149.64

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Solution

The fourth proportional to 271.41, 407.31 and 149.64 is: 224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 407.31 = 149.64 : x
  2. Step 2: Convert to fraction form
    271.41/407.31 = 149.64/x
  3. Step 3: Cross multiply
    271.41x = 407.31 × 149.64
  4. Step 4: Simplify right side
    271.41x = 60,949.87
  5. Step 5: Solve for x
    x = 60,949.87/271.41
  6. Step 6: Final answer
    x = 224.57

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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.