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Finding the Fourth Proportional to 271.14, 405.42 and 209.38

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Solution

The fourth proportional to 271.14, 405.42 and 209.38 is: 313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.14 : 405.42 = 209.38 : x
  2. Step 2: Convert to fraction form
    271.14/405.42 = 209.38/x
  3. Step 3: Cross multiply
    271.14x = 405.42 × 209.38
  4. Step 4: Simplify right side
    271.14x = 84,884.28
  5. Step 5: Solve for x
    x = 84,884.28/271.14
  6. Step 6: Final answer
    x = 313.07

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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.