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Finding the Fourth Proportional to 189.96, 284.49 and 107.55

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Solution

The fourth proportional to 189.96, 284.49 and 107.55 is: 161.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 284.49 = 107.55 : x
  2. Step 2: Convert to fraction form
    189.96/284.49 = 107.55/x
  3. Step 3: Cross multiply
    189.96x = 284.49 × 107.55
  4. Step 4: Simplify right side
    189.96x = 30,596.90
  5. Step 5: Solve for x
    x = 30,596.90/189.96
  6. Step 6: Final answer
    x = 161.07

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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.