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Finding the Fourth Proportional to 289, 398.82 and 197

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Solution

The fourth proportional to 289, 398.82 and 197 is: 271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    289 : 398.82 = 197 : x
  2. Step 2: Convert to fraction form
    289/398.82 = 197/x
  3. Step 3: Cross multiply
    289x = 398.82 × 197
  4. Step 4: Simplify right side
    289x = 78,567.54
  5. Step 5: Solve for x
    x = 78,567.54/289
  6. Step 6: Final answer
    x = 271.86

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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.