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Finding the Fourth Proportional to 190.70, 286.23 and 163.94

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Solution

The fourth proportional to 190.70, 286.23 and 163.94 is: 246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.70 : 286.23 = 163.94 : x
  2. Step 2: Convert to fraction form
    190.70/286.23 = 163.94/x
  3. Step 3: Cross multiply
    190.70x = 286.23 × 163.94
  4. Step 4: Simplify right side
    190.70x = 46,924.55
  5. Step 5: Solve for x
    x = 46,924.55/190.70
  6. Step 6: Final answer
    x = 246.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.