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Finding the Fourth Proportional to 189.43, 260.03 and 185.99

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Solution

The fourth proportional to 189.43, 260.03 and 185.99 is: 255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.43 : 260.03 = 185.99 : x
  2. Step 2: Convert to fraction form
    189.43/260.03 = 185.99/x
  3. Step 3: Cross multiply
    189.43x = 260.03 × 185.99
  4. Step 4: Simplify right side
    189.43x = 48,362.14
  5. Step 5: Solve for x
    x = 48,362.14/189.43
  6. Step 6: Final answer
    x = 255.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.