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Finding the Fourth Proportional to 190.16, 262.42 and 116.46

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Solution

The fourth proportional to 190.16, 262.42 and 116.46 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.16 : 262.42 = 116.46 : x
  2. Step 2: Convert to fraction form
    190.16/262.42 = 116.46/x
  3. Step 3: Cross multiply
    190.16x = 262.42 × 116.46
  4. Step 4: Simplify right side
    190.16x = 30,561.43
  5. Step 5: Solve for x
    x = 30,561.43/190.16
  6. Step 6: Final answer
    x = 160.71

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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.