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Finding the Fourth Proportional to 289.10, 399.14 and 195.86

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Solution

The fourth proportional to 289.10, 399.14 and 195.86 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 399.14 = 195.86 : x
  2. Step 2: Convert to fraction form
    289.10/399.14 = 195.86/x
  3. Step 3: Cross multiply
    289.10x = 399.14 × 195.86
  4. Step 4: Simplify right side
    289.10x = 78,175.56
  5. Step 5: Solve for x
    x = 78,175.56/289.10
  6. Step 6: Final answer
    x = 270.41

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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.