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Finding the Fourth Proportional to 194.12, 290.68 and 136.20

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Solution

The fourth proportional to 194.12, 290.68 and 136.20 is: 203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 290.68 = 136.20 : x
  2. Step 2: Convert to fraction form
    194.12/290.68 = 136.20/x
  3. Step 3: Cross multiply
    194.12x = 290.68 × 136.20
  4. Step 4: Simplify right side
    194.12x = 39,590.62
  5. Step 5: Solve for x
    x = 39,590.62/194.12
  6. Step 6: Final answer
    x = 203.95

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