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Finding the Fourth Proportional to 194.25, 291.50 and 80.25

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Solution

The fourth proportional to 194.25, 291.50 and 80.25 is: 120.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.25 : 291.50 = 80.25 : x
  2. Step 2: Convert to fraction form
    194.25/291.50 = 80.25/x
  3. Step 3: Cross multiply
    194.25x = 291.50 × 80.25
  4. Step 4: Simplify right side
    194.25x = 23,392.47
  5. Step 5: Solve for x
    x = 23,392.47/194.25
  6. Step 6: Final answer
    x = 120.42

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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.