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Finding the Fourth Proportional to 189.20, 284.33 and 112.17

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Solution

The fourth proportional to 189.20, 284.33 and 112.17 is: 168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.20 : 284.33 = 112.17 : x
  2. Step 2: Convert to fraction form
    189.20/284.33 = 112.17/x
  3. Step 3: Cross multiply
    189.20x = 284.33 × 112.17
  4. Step 4: Simplify right side
    189.20x = 31,892.74
  5. Step 5: Solve for x
    x = 31,892.74/189.20
  6. Step 6: Final answer
    x = 168.57

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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.