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Finding the Fourth Proportional to 192.30, 287.91 and 119.94

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Solution

The fourth proportional to 192.30, 287.91 and 119.94 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.30 : 287.91 = 119.94 : x
  2. Step 2: Convert to fraction form
    192.30/287.91 = 119.94/x
  3. Step 3: Cross multiply
    192.30x = 287.91 × 119.94
  4. Step 4: Simplify right side
    192.30x = 34,531.93
  5. Step 5: Solve for x
    x = 34,531.93/192.30
  6. Step 6: Final answer
    x = 179.57

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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.