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Finding the Fourth Proportional to 289.26, 398.34 and 201.78

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Solution

The fourth proportional to 289.26, 398.34 and 201.78 is: 277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.26 : 398.34 = 201.78 : x
  2. Step 2: Convert to fraction form
    289.26/398.34 = 201.78/x
  3. Step 3: Cross multiply
    289.26x = 398.34 × 201.78
  4. Step 4: Simplify right side
    289.26x = 80,377.05
  5. Step 5: Solve for x
    x = 80,377.05/289.26
  6. Step 6: Final answer
    x = 277.87

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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.