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Finding the Fourth Proportional to 190.05, 285.21 and 165.75

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Solution

The fourth proportional to 190.05, 285.21 and 165.75 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.05 : 285.21 = 165.75 : x
  2. Step 2: Convert to fraction form
    190.05/285.21 = 165.75/x
  3. Step 3: Cross multiply
    190.05x = 285.21 × 165.75
  4. Step 4: Simplify right side
    190.05x = 47,273.56
  5. Step 5: Solve for x
    x = 47,273.56/190.05
  6. Step 6: Final answer
    x = 248.74

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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.