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Finding the Fourth Proportional to 190.75, 285.67 and 109.35

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Solution

The fourth proportional to 190.75, 285.67 and 109.35 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 285.67 = 109.35 : x
  2. Step 2: Convert to fraction form
    190.75/285.67 = 109.35/x
  3. Step 3: Cross multiply
    190.75x = 285.67 × 109.35
  4. Step 4: Simplify right side
    190.75x = 31,238.01
  5. Step 5: Solve for x
    x = 31,238.01/190.75
  6. Step 6: Final answer
    x = 163.76

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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.