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Finding the Fourth Proportional to 271.12, 405.67 and 161.03

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Solution

The fourth proportional to 271.12, 405.67 and 161.03 is: 240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.12 : 405.67 = 161.03 : x
  2. Step 2: Convert to fraction form
    271.12/405.67 = 161.03/x
  3. Step 3: Cross multiply
    271.12x = 405.67 × 161.03
  4. Step 4: Simplify right side
    271.12x = 65,324.23
  5. Step 5: Solve for x
    x = 65,324.23/271.12
  6. Step 6: Final answer
    x = 240.94

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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.