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Finding the Fourth Proportional to 190.73, 286.32 and 161.75

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Solution

The fourth proportional to 190.73, 286.32 and 161.75 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.73 : 286.32 = 161.75 : x
  2. Step 2: Convert to fraction form
    190.73/286.32 = 161.75/x
  3. Step 3: Cross multiply
    190.73x = 286.32 × 161.75
  4. Step 4: Simplify right side
    190.73x = 46,312.26
  5. Step 5: Solve for x
    x = 46,312.26/190.73
  6. Step 6: Final answer
    x = 242.82

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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.