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Finding the Fourth Proportional to 190.68, 263.26 and 120.80

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Solution

The fourth proportional to 190.68, 263.26 and 120.80 is: 166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 263.26 = 120.80 : x
  2. Step 2: Convert to fraction form
    190.68/263.26 = 120.80/x
  3. Step 3: Cross multiply
    190.68x = 263.26 × 120.80
  4. Step 4: Simplify right side
    190.68x = 31,801.81
  5. Step 5: Solve for x
    x = 31,801.81/190.68
  6. Step 6: Final answer
    x = 166.78

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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.