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Finding the Fourth Proportional to 271, 406.50 and 99.96

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Solution

The fourth proportional to 271, 406.50 and 99.96 is: 149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271 : 406.50 = 99.96 : x
  2. Step 2: Convert to fraction form
    271/406.50 = 99.96/x
  3. Step 3: Cross multiply
    271x = 406.50 × 99.96
  4. Step 4: Simplify right side
    271x = 40,633.74
  5. Step 5: Solve for x
    x = 40,633.74/271
  6. Step 6: Final answer
    x = 149.94

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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.