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Finding the Fourth Proportional to 190.75, 285.67 and 122.05

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Solution

The fourth proportional to 190.75, 285.67 and 122.05 is: 182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 285.67 = 122.05 : x
  2. Step 2: Convert to fraction form
    190.75/285.67 = 122.05/x
  3. Step 3: Cross multiply
    190.75x = 285.67 × 122.05
  4. Step 4: Simplify right side
    190.75x = 34,866.02
  5. Step 5: Solve for x
    x = 34,866.02/190.75
  6. Step 6: Final answer
    x = 182.78

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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.