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Finding the Fourth Proportional to 189.92, 284.53 and 112.66

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Solution

The fourth proportional to 189.92, 284.53 and 112.66 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.92 : 284.53 = 112.66 : x
  2. Step 2: Convert to fraction form
    189.92/284.53 = 112.66/x
  3. Step 3: Cross multiply
    189.92x = 284.53 × 112.66
  4. Step 4: Simplify right side
    189.92x = 32,055.15
  5. Step 5: Solve for x
    x = 32,055.15/189.92
  6. Step 6: Final answer
    x = 168.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.