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Finding the Fourth Proportional to 189, 283.56 and 137.55

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Solution

The fourth proportional to 189, 283.56 and 137.55 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189 : 283.56 = 137.55 : x
  2. Step 2: Convert to fraction form
    189/283.56 = 137.55/x
  3. Step 3: Cross multiply
    189x = 283.56 × 137.55
  4. Step 4: Simplify right side
    189x = 39,003.68
  5. Step 5: Solve for x
    x = 39,003.68/189
  6. Step 6: Final answer
    x = 206.37

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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.