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Finding the Fourth Proportional to 190.36, 262.46 and 143.64

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Solution

The fourth proportional to 190.36, 262.46 and 143.64 is: 198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.36 : 262.46 = 143.64 : x
  2. Step 2: Convert to fraction form
    190.36/262.46 = 143.64/x
  3. Step 3: Cross multiply
    190.36x = 262.46 × 143.64
  4. Step 4: Simplify right side
    190.36x = 37,699.75
  5. Step 5: Solve for x
    x = 37,699.75/190.36
  6. Step 6: Final answer
    x = 198.04

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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.