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Finding the Fourth Proportional to 190.47, 262.85 and 103.14

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Solution

The fourth proportional to 190.47, 262.85 and 103.14 is: 142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.47 : 262.85 = 103.14 : x
  2. Step 2: Convert to fraction form
    190.47/262.85 = 103.14/x
  3. Step 3: Cross multiply
    190.47x = 262.85 × 103.14
  4. Step 4: Simplify right side
    190.47x = 27,110.35
  5. Step 5: Solve for x
    x = 27,110.35/190.47
  6. Step 6: Final answer
    x = 142.33

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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.