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Finding the Fourth Proportional to 192.93, 289.38 and 84.69

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Solution

The fourth proportional to 192.93, 289.38 and 84.69 is: 127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.93 : 289.38 = 84.69 : x
  2. Step 2: Convert to fraction form
    192.93/289.38 = 84.69/x
  3. Step 3: Cross multiply
    192.93x = 289.38 × 84.69
  4. Step 4: Simplify right side
    192.93x = 24,507.59
  5. Step 5: Solve for x
    x = 24,507.59/192.93
  6. Step 6: Final answer
    x = 127.03

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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.