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Finding the Fourth Proportional to 289.88, 400.20 and 196.76

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Solution

The fourth proportional to 289.88, 400.20 and 196.76 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.88 : 400.20 = 196.76 : x
  2. Step 2: Convert to fraction form
    289.88/400.20 = 196.76/x
  3. Step 3: Cross multiply
    289.88x = 400.20 × 196.76
  4. Step 4: Simplify right side
    289.88x = 78,743.35
  5. Step 5: Solve for x
    x = 78,743.35/289.88
  6. Step 6: Final answer
    x = 271.64

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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.