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Finding the Fourth Proportional to 190.70, 286 and 53.73

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Solution

The fourth proportional to 190.70, 286 and 53.73 is: 80.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.70 : 286 = 53.73 : x
  2. Step 2: Convert to fraction form
    190.70/286 = 53.73/x
  3. Step 3: Cross multiply
    190.70x = 286 × 53.73
  4. Step 4: Simplify right side
    190.70x = 15,365.35
  5. Step 5: Solve for x
    x = 15,365.35/190.70
  6. Step 6: Final answer
    x = 80.58

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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.