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Finding the Fourth Proportional to 189.38, 284.02 and 73.82

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Solution

The fourth proportional to 189.38, 284.02 and 73.82 is: 110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.38 : 284.02 = 73.82 : x
  2. Step 2: Convert to fraction form
    189.38/284.02 = 73.82/x
  3. Step 3: Cross multiply
    189.38x = 284.02 × 73.82
  4. Step 4: Simplify right side
    189.38x = 20,965.99
  5. Step 5: Solve for x
    x = 20,965.99/189.38
  6. Step 6: Final answer
    x = 110.71

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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.