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Finding the Fourth Proportional to 271.97, 408.04 and 98.63

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Solution

The fourth proportional to 271.97, 408.04 and 98.63 is: 147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.97 : 408.04 = 98.63 : x
  2. Step 2: Convert to fraction form
    271.97/408.04 = 98.63/x
  3. Step 3: Cross multiply
    271.97x = 408.04 × 98.63
  4. Step 4: Simplify right side
    271.97x = 40,246.52
  5. Step 5: Solve for x
    x = 40,246.52/271.97
  6. Step 6: Final answer
    x = 147.98

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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.