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Finding the Fourth Proportional to 271.32, 406.42 and 178.61

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Solution

The fourth proportional to 271.32, 406.42 and 178.61 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.32 : 406.42 = 178.61 : x
  2. Step 2: Convert to fraction form
    271.32/406.42 = 178.61/x
  3. Step 3: Cross multiply
    271.32x = 406.42 × 178.61
  4. Step 4: Simplify right side
    271.32x = 72,588.20
  5. Step 5: Solve for x
    x = 72,588.20/271.32
  6. Step 6: Final answer
    x = 267.53

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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.