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Finding the Fourth Proportional to 271.44, 407.33 and 149.78

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Solution

The fourth proportional to 271.44, 407.33 and 149.78 is: 224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 407.33 = 149.78 : x
  2. Step 2: Convert to fraction form
    271.44/407.33 = 149.78/x
  3. Step 3: Cross multiply
    271.44x = 407.33 × 149.78
  4. Step 4: Simplify right side
    271.44x = 61,007.10
  5. Step 5: Solve for x
    x = 61,007.10/271.44
  6. Step 6: Final answer
    x = 224.75

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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.