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Finding the Fourth Proportional to 271.03, 406.23 and 134.14

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Solution

The fourth proportional to 271.03, 406.23 and 134.14 is: 201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.03 : 406.23 = 134.14 : x
  2. Step 2: Convert to fraction form
    271.03/406.23 = 134.14/x
  3. Step 3: Cross multiply
    271.03x = 406.23 × 134.14
  4. Step 4: Simplify right side
    271.03x = 54,491.69
  5. Step 5: Solve for x
    x = 54,491.69/271.03
  6. Step 6: Final answer
    x = 201.05

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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.