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Finding the Fourth Proportional to 189.86, 284.72 and 112.84

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Solution

The fourth proportional to 189.86, 284.72 and 112.84 is: 169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.86 : 284.72 = 112.84 : x
  2. Step 2: Convert to fraction form
    189.86/284.72 = 112.84/x
  3. Step 3: Cross multiply
    189.86x = 284.72 × 112.84
  4. Step 4: Simplify right side
    189.86x = 32,127.80
  5. Step 5: Solve for x
    x = 32,127.80/189.86
  6. Step 6: Final answer
    x = 169.22

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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.