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Finding the Fourth Proportional to 194.75, 290.62 and 168.83

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Solution

The fourth proportional to 194.75, 290.62 and 168.83 is: 251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.75 : 290.62 = 168.83 : x
  2. Step 2: Convert to fraction form
    194.75/290.62 = 168.83/x
  3. Step 3: Cross multiply
    194.75x = 290.62 × 168.83
  4. Step 4: Simplify right side
    194.75x = 49,064.53
  5. Step 5: Solve for x
    x = 49,064.53/194.75
  6. Step 6: Final answer
    x = 251.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.