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Finding the Fourth Proportional to 194.97, 292.59 and 134.49

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Solution

The fourth proportional to 194.97, 292.59 and 134.49 is: 201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.97 : 292.59 = 134.49 : x
  2. Step 2: Convert to fraction form
    194.97/292.59 = 134.49/x
  3. Step 3: Cross multiply
    194.97x = 292.59 × 134.49
  4. Step 4: Simplify right side
    194.97x = 39,350.43
  5. Step 5: Solve for x
    x = 39,350.43/194.97
  6. Step 6: Final answer
    x = 201.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.