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Finding the Fourth Proportional to 289.88, 400.10 and 196.78

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Solution

The fourth proportional to 289.88, 400.10 and 196.78 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.88 : 400.10 = 196.78 : x
  2. Step 2: Convert to fraction form
    289.88/400.10 = 196.78/x
  3. Step 3: Cross multiply
    289.88x = 400.10 × 196.78
  4. Step 4: Simplify right side
    289.88x = 78,728.69
  5. Step 5: Solve for x
    x = 78,728.69/289.88
  6. Step 6: Final answer
    x = 271.60

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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.