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Finding the Fourth Proportional to 192.73, 288.96 and 120.37

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Solution

The fourth proportional to 192.73, 288.96 and 120.37 is: 180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.73 : 288.96 = 120.37 : x
  2. Step 2: Convert to fraction form
    192.73/288.96 = 120.37/x
  3. Step 3: Cross multiply
    192.73x = 288.96 × 120.37
  4. Step 4: Simplify right side
    192.73x = 34,782.12
  5. Step 5: Solve for x
    x = 34,782.12/192.73
  6. Step 6: Final answer
    x = 180.47

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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.