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Finding the Fourth Proportional to 271.32, 406.46 and 134.20

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Solution

The fourth proportional to 271.32, 406.46 and 134.20 is: 201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.32 : 406.46 = 134.20 : x
  2. Step 2: Convert to fraction form
    271.32/406.46 = 134.20/x
  3. Step 3: Cross multiply
    271.32x = 406.46 × 134.20
  4. Step 4: Simplify right side
    271.32x = 54,546.93
  5. Step 5: Solve for x
    x = 54,546.93/271.32
  6. Step 6: Final answer
    x = 201.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.