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Finding the Fourth Proportional to 190.32, 262.26 and 137.78

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Solution

The fourth proportional to 190.32, 262.26 and 137.78 is: 189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.32 : 262.26 = 137.78 : x
  2. Step 2: Convert to fraction form
    190.32/262.26 = 137.78/x
  3. Step 3: Cross multiply
    190.32x = 262.26 × 137.78
  4. Step 4: Simplify right side
    190.32x = 36,132.87
  5. Step 5: Solve for x
    x = 36,132.87/190.32
  6. Step 6: Final answer
    x = 189.85

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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.