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Finding the Fourth Proportional to 289.98, 400.41 and 196.92

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Solution

The fourth proportional to 289.98, 400.41 and 196.92 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.98 : 400.41 = 196.92 : x
  2. Step 2: Convert to fraction form
    289.98/400.41 = 196.92/x
  3. Step 3: Cross multiply
    289.98x = 400.41 × 196.92
  4. Step 4: Simplify right side
    289.98x = 78,848.74
  5. Step 5: Solve for x
    x = 78,848.74/289.98
  6. Step 6: Final answer
    x = 271.91

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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.