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Finding the Fourth Proportional to 190.75, 263.23 and 103.42

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Solution

The fourth proportional to 190.75, 263.23 and 103.42 is: 142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 263.23 = 103.42 : x
  2. Step 2: Convert to fraction form
    190.75/263.23 = 103.42/x
  3. Step 3: Cross multiply
    190.75x = 263.23 × 103.42
  4. Step 4: Simplify right side
    190.75x = 27,222.72
  5. Step 5: Solve for x
    x = 27,222.72/190.75
  6. Step 6: Final answer
    x = 142.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.