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Finding the Fourth Proportional to 190.64, 286 and 82.48

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Solution

The fourth proportional to 190.64, 286 and 82.48 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.64 : 286 = 82.48 : x
  2. Step 2: Convert to fraction form
    190.64/286 = 82.48/x
  3. Step 3: Cross multiply
    190.64x = 286 × 82.48
  4. Step 4: Simplify right side
    190.64x = 23,589.28
  5. Step 5: Solve for x
    x = 23,589.28/190.64
  6. Step 6: Final answer
    x = 123.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.