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Finding the Fourth Proportional to 289.91, 400.05 and 196.61

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Solution

The fourth proportional to 289.91, 400.05 and 196.61 is: 271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.91 : 400.05 = 196.61 : x
  2. Step 2: Convert to fraction form
    289.91/400.05 = 196.61/x
  3. Step 3: Cross multiply
    289.91x = 400.05 × 196.61
  4. Step 4: Simplify right side
    289.91x = 78,651.83
  5. Step 5: Solve for x
    x = 78,651.83/289.91
  6. Step 6: Final answer
    x = 271.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.