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Finding the Fourth Proportional to 189.87, 262.05 and 115.22

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Solution

The fourth proportional to 189.87, 262.05 and 115.22 is: 159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.87 : 262.05 = 115.22 : x
  2. Step 2: Convert to fraction form
    189.87/262.05 = 115.22/x
  3. Step 3: Cross multiply
    189.87x = 262.05 × 115.22
  4. Step 4: Simplify right side
    189.87x = 30,194.27
  5. Step 5: Solve for x
    x = 30,194.27/189.87
  6. Step 6: Final answer
    x = 159.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.