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Finding the Fourth Proportional to 189.28, 283.68 and 137.92

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Solution

The fourth proportional to 189.28, 283.68 and 137.92 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.28 : 283.68 = 137.92 : x
  2. Step 2: Convert to fraction form
    189.28/283.68 = 137.92/x
  3. Step 3: Cross multiply
    189.28x = 283.68 × 137.92
  4. Step 4: Simplify right side
    189.28x = 39,125.15
  5. Step 5: Solve for x
    x = 39,125.15/189.28
  6. Step 6: Final answer
    x = 206.71

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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.