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Finding the Fourth Proportional to 289.49, 399.34 and 196.20

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Solution

The fourth proportional to 289.49, 399.34 and 196.20 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.49 : 399.34 = 196.20 : x
  2. Step 2: Convert to fraction form
    289.49/399.34 = 196.20/x
  3. Step 3: Cross multiply
    289.49x = 399.34 × 196.20
  4. Step 4: Simplify right side
    289.49x = 78,350.75
  5. Step 5: Solve for x
    x = 78,350.75/289.49
  6. Step 6: Final answer
    x = 270.66

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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.