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Finding the Fourth Proportional to 190.75, 263.24 and 113.17

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Solution

The fourth proportional to 190.75, 263.24 and 113.17 is: 156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 263.24 = 113.17 : x
  2. Step 2: Convert to fraction form
    190.75/263.24 = 113.17/x
  3. Step 3: Cross multiply
    190.75x = 263.24 × 113.17
  4. Step 4: Simplify right side
    190.75x = 29,790.30
  5. Step 5: Solve for x
    x = 29,790.30/190.75
  6. Step 6: Final answer
    x = 156.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.