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Finding the Fourth Proportional to 192.99, 289.17 and 138.84

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Solution

The fourth proportional to 192.99, 289.17 and 138.84 is: 208.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.99 : 289.17 = 138.84 : x
  2. Step 2: Convert to fraction form
    192.99/289.17 = 138.84/x
  3. Step 3: Cross multiply
    192.99x = 289.17 × 138.84
  4. Step 4: Simplify right side
    192.99x = 40,148.36
  5. Step 5: Solve for x
    x = 40,148.36/192.99
  6. Step 6: Final answer
    x = 208.03

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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.