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Finding the Fourth Proportional to 289.35, 399.11 and 196.07

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Solution

The fourth proportional to 289.35, 399.11 and 196.07 is: 270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.35 : 399.11 = 196.07 : x
  2. Step 2: Convert to fraction form
    289.35/399.11 = 196.07/x
  3. Step 3: Cross multiply
    289.35x = 399.11 × 196.07
  4. Step 4: Simplify right side
    289.35x = 78,250.52
  5. Step 5: Solve for x
    x = 78,250.52/289.35
  6. Step 6: Final answer
    x = 270.44

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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.