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Finding the Fourth Proportional to 271.31, 407.16 and 134.32

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Solution

The fourth proportional to 271.31, 407.16 and 134.32 is: 201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.31 : 407.16 = 134.32 : x
  2. Step 2: Convert to fraction form
    271.31/407.16 = 134.32/x
  3. Step 3: Cross multiply
    271.31x = 407.16 × 134.32
  4. Step 4: Simplify right side
    271.31x = 54,689.73
  5. Step 5: Solve for x
    x = 54,689.73/271.31
  6. Step 6: Final answer
    x = 201.58

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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.