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Finding the Fourth Proportional to 194.69, 292.09 and 122.50

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Solution

The fourth proportional to 194.69, 292.09 and 122.50 is: 183.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.69 : 292.09 = 122.50 : x
  2. Step 2: Convert to fraction form
    194.69/292.09 = 122.50/x
  3. Step 3: Cross multiply
    194.69x = 292.09 × 122.50
  4. Step 4: Simplify right side
    194.69x = 35,781.03
  5. Step 5: Solve for x
    x = 35,781.03/194.69
  6. Step 6: Final answer
    x = 183.78

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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.