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Finding the Fourth Proportional to 271.37, 407.16 and 163.24

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Solution

The fourth proportional to 271.37, 407.16 and 163.24 is: 244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.37 : 407.16 = 163.24 : x
  2. Step 2: Convert to fraction form
    271.37/407.16 = 163.24/x
  3. Step 3: Cross multiply
    271.37x = 407.16 × 163.24
  4. Step 4: Simplify right side
    271.37x = 66,463.78
  5. Step 5: Solve for x
    x = 66,463.78/271.37
  6. Step 6: Final answer
    x = 244.92

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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.