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Finding the Fourth Proportional to 192.67, 288.99 and 55.73

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Solution

The fourth proportional to 192.67, 288.99 and 55.73 is: 83.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.67 : 288.99 = 55.73 : x
  2. Step 2: Convert to fraction form
    192.67/288.99 = 55.73/x
  3. Step 3: Cross multiply
    192.67x = 288.99 × 55.73
  4. Step 4: Simplify right side
    192.67x = 16,105.41
  5. Step 5: Solve for x
    x = 16,105.41/192.67
  6. Step 6: Final answer
    x = 83.59

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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.