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Finding the Fourth Proportional to 284.39, 391.95 and 195.88

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Solution

The fourth proportional to 284.39, 391.95 and 195.88 is: 269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.39 : 391.95 = 195.88 : x
  2. Step 2: Convert to fraction form
    284.39/391.95 = 195.88/x
  3. Step 3: Cross multiply
    284.39x = 391.95 × 195.88
  4. Step 4: Simplify right side
    284.39x = 76,775.75
  5. Step 5: Solve for x
    x = 76,775.75/284.39
  6. Step 6: Final answer
    x = 269.97

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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.