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Finding the Fourth Proportional to 271.23, 406.82 and 78.86

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Solution

The fourth proportional to 271.23, 406.82 and 78.86 is: 118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.23 : 406.82 = 78.86 : x
  2. Step 2: Convert to fraction form
    271.23/406.82 = 78.86/x
  3. Step 3: Cross multiply
    271.23x = 406.82 × 78.86
  4. Step 4: Simplify right side
    271.23x = 32,079.40
  5. Step 5: Solve for x
    x = 32,079.40/271.23
  6. Step 6: Final answer
    x = 118.27

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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.