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Finding the Fourth Proportional to 190.64, 262.80 and 168.80

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Solution

The fourth proportional to 190.64, 262.80 and 168.80 is: 232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 262.80 = 168.80 : x
  2. Step 2: Convert to fraction form
    190.64/262.80 = 168.80/x
  3. Step 3: Cross multiply
    190.64x = 262.80 × 168.80
  4. Step 4: Simplify right side
    190.64x = 44,360.64
  5. Step 5: Solve for x
    x = 44,360.64/190.64
  6. Step 6: Final answer
    x = 232.69

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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.