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Finding the Fourth Proportional to 289.42, 399.47 and 196.20

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Solution

The fourth proportional to 289.42, 399.47 and 196.20 is: 270.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 399.47 = 196.20 : x
  2. Step 2: Convert to fraction form
    289.42/399.47 = 196.20/x
  3. Step 3: Cross multiply
    289.42x = 399.47 × 196.20
  4. Step 4: Simplify right side
    289.42x = 78,375.03
  5. Step 5: Solve for x
    x = 78,375.03/289.42
  6. Step 6: Final answer
    x = 270.80

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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.