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Finding the Fourth Proportional to 190.17, 262.34 and 116.43

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Solution

The fourth proportional to 190.17, 262.34 and 116.43 is: 160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.17 : 262.34 = 116.43 : x
  2. Step 2: Convert to fraction form
    190.17/262.34 = 116.43/x
  3. Step 3: Cross multiply
    190.17x = 262.34 × 116.43
  4. Step 4: Simplify right side
    190.17x = 30,543.66
  5. Step 5: Solve for x
    x = 30,543.66/190.17
  6. Step 6: Final answer
    x = 160.61

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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.