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Finding the Fourth Proportional to 271.18, 405.86 and 168.11

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Solution

The fourth proportional to 271.18, 405.86 and 168.11 is: 251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.18 : 405.86 = 168.11 : x
  2. Step 2: Convert to fraction form
    271.18/405.86 = 168.11/x
  3. Step 3: Cross multiply
    271.18x = 405.86 × 168.11
  4. Step 4: Simplify right side
    271.18x = 68,226.25
  5. Step 5: Solve for x
    x = 68,226.25/271.18
  6. Step 6: Final answer
    x = 251.59

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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.