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Finding the Fourth Proportional to 190.49, 262.87 and 103.16

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Solution

The fourth proportional to 190.49, 262.87 and 103.16 is: 142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.49 : 262.87 = 103.16 : x
  2. Step 2: Convert to fraction form
    190.49/262.87 = 103.16/x
  3. Step 3: Cross multiply
    190.49x = 262.87 × 103.16
  4. Step 4: Simplify right side
    190.49x = 27,116.49
  5. Step 5: Solve for x
    x = 27,116.49/190.49
  6. Step 6: Final answer
    x = 142.35

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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.