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Finding the Fourth Proportional to 190.31, 262.46 and 160.94

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Solution

The fourth proportional to 190.31, 262.46 and 160.94 is: 221.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.31 : 262.46 = 160.94 : x
  2. Step 2: Convert to fraction form
    190.31/262.46 = 160.94/x
  3. Step 3: Cross multiply
    190.31x = 262.46 × 160.94
  4. Step 4: Simplify right side
    190.31x = 42,238.20
  5. Step 5: Solve for x
    x = 42,238.20/190.31
  6. Step 6: Final answer
    x = 221.95

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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.