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Finding the Fourth Proportional to 190.86, 263.42 and 117.22

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Solution

The fourth proportional to 190.86, 263.42 and 117.22 is: 161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.86 : 263.42 = 117.22 : x
  2. Step 2: Convert to fraction form
    190.86/263.42 = 117.22/x
  3. Step 3: Cross multiply
    190.86x = 263.42 × 117.22
  4. Step 4: Simplify right side
    190.86x = 30,878.09
  5. Step 5: Solve for x
    x = 30,878.09/190.86
  6. Step 6: Final answer
    x = 161.78

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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.