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Finding the Fourth Proportional to 189.52, 284.60 and 137.44

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Solution

The fourth proportional to 189.52, 284.60 and 137.44 is: 206.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.52 : 284.60 = 137.44 : x
  2. Step 2: Convert to fraction form
    189.52/284.60 = 137.44/x
  3. Step 3: Cross multiply
    189.52x = 284.60 × 137.44
  4. Step 4: Simplify right side
    189.52x = 39,115.42
  5. Step 5: Solve for x
    x = 39,115.42/189.52
  6. Step 6: Final answer
    x = 206.39

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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.