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Finding the Fourth Proportional to 190.27, 285.54 and 109

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Solution

The fourth proportional to 190.27, 285.54 and 109 is: 163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.27 : 285.54 = 109 : x
  2. Step 2: Convert to fraction form
    190.27/285.54 = 109/x
  3. Step 3: Cross multiply
    190.27x = 285.54 × 109
  4. Step 4: Simplify right side
    190.27x = 31,123.86
  5. Step 5: Solve for x
    x = 31,123.86/190.27
  6. Step 6: Final answer
    x = 163.58

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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.