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Finding the Fourth Proportional to 190.12, 262.31 and 116.36

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Solution

The fourth proportional to 190.12, 262.31 and 116.36 is: 160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.12 : 262.31 = 116.36 : x
  2. Step 2: Convert to fraction form
    190.12/262.31 = 116.36/x
  3. Step 3: Cross multiply
    190.12x = 262.31 × 116.36
  4. Step 4: Simplify right side
    190.12x = 30,522.76
  5. Step 5: Solve for x
    x = 30,522.76/190.12
  6. Step 6: Final answer
    x = 160.54

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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.