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Finding the Fourth Proportional to 192.73, 290.40 and 159.25

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Solution

The fourth proportional to 192.73, 290.40 and 159.25 is: 239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.73 : 290.40 = 159.25 : x
  2. Step 2: Convert to fraction form
    192.73/290.40 = 159.25/x
  3. Step 3: Cross multiply
    192.73x = 290.40 × 159.25
  4. Step 4: Simplify right side
    192.73x = 46,243.95
  5. Step 5: Solve for x
    x = 46,243.95/192.73
  6. Step 6: Final answer
    x = 239.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.