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Finding the Fourth Proportional to 193.41, 290.12 and 151.17

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Solution

The fourth proportional to 193.41, 290.12 and 151.17 is: 226.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.41 : 290.12 = 151.17 : x
  2. Step 2: Convert to fraction form
    193.41/290.12 = 151.17/x
  3. Step 3: Cross multiply
    193.41x = 290.12 × 151.17
  4. Step 4: Simplify right side
    193.41x = 43,857.44
  5. Step 5: Solve for x
    x = 43,857.44/193.41
  6. Step 6: Final answer
    x = 226.76

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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.