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Finding the Fourth Proportional to 190.42, 262.78 and 103.10

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Solution

The fourth proportional to 190.42, 262.78 and 103.10 is: 142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.42 : 262.78 = 103.10 : x
  2. Step 2: Convert to fraction form
    190.42/262.78 = 103.10/x
  3. Step 3: Cross multiply
    190.42x = 262.78 × 103.10
  4. Step 4: Simplify right side
    190.42x = 27,091.99
  5. Step 5: Solve for x
    x = 27,091.99/190.42
  6. Step 6: Final answer
    x = 142.27

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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.