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Finding the Fourth Proportional to 190.54, 286.35 and 122.23

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Solution

The fourth proportional to 190.54, 286.35 and 122.23 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 286.35 = 122.23 : x
  2. Step 2: Convert to fraction form
    190.54/286.35 = 122.23/x
  3. Step 3: Cross multiply
    190.54x = 286.35 × 122.23
  4. Step 4: Simplify right side
    190.54x = 35,000.56
  5. Step 5: Solve for x
    x = 35,000.56/190.54
  6. Step 6: Final answer
    x = 183.69

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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.