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Finding the Fourth Proportional to 289.20, 399.24 and 196.44

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Solution

The fourth proportional to 289.20, 399.24 and 196.44 is: 271.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.20 : 399.24 = 196.44 : x
  2. Step 2: Convert to fraction form
    289.20/399.24 = 196.44/x
  3. Step 3: Cross multiply
    289.20x = 399.24 × 196.44
  4. Step 4: Simplify right side
    289.20x = 78,426.71
  5. Step 5: Solve for x
    x = 78,426.71/289.20
  6. Step 6: Final answer
    x = 271.19

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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.