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Finding the Fourth Proportional to 192.58, 289.07 and 131.12

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Solution

The fourth proportional to 192.58, 289.07 and 131.12 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.58 : 289.07 = 131.12 : x
  2. Step 2: Convert to fraction form
    192.58/289.07 = 131.12/x
  3. Step 3: Cross multiply
    192.58x = 289.07 × 131.12
  4. Step 4: Simplify right side
    192.58x = 37,902.33
  5. Step 5: Solve for x
    x = 37,902.33/192.58
  6. Step 6: Final answer
    x = 196.82

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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.