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Finding the Fourth Proportional to 190.54, 286.83 and 173.80

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Solution

The fourth proportional to 190.54, 286.83 and 173.80 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 286.83 = 173.80 : x
  2. Step 2: Convert to fraction form
    190.54/286.83 = 173.80/x
  3. Step 3: Cross multiply
    190.54x = 286.83 × 173.80
  4. Step 4: Simplify right side
    190.54x = 49,851.05
  5. Step 5: Solve for x
    x = 49,851.05/190.54
  6. Step 6: Final answer
    x = 261.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.