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Finding the Fourth Proportional to 190.22, 262.54 and 134.96

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Solution

The fourth proportional to 190.22, 262.54 and 134.96 is: 186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.22 : 262.54 = 134.96 : x
  2. Step 2: Convert to fraction form
    190.22/262.54 = 134.96/x
  3. Step 3: Cross multiply
    190.22x = 262.54 × 134.96
  4. Step 4: Simplify right side
    190.22x = 35,433.22
  5. Step 5: Solve for x
    x = 35,433.22/190.22
  6. Step 6: Final answer
    x = 186.27

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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.