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Finding the Fourth Proportional to 185.81, 256.44 and 108.19

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Solution

The fourth proportional to 185.81, 256.44 and 108.19 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.81 : 256.44 = 108.19 : x
  2. Step 2: Convert to fraction form
    185.81/256.44 = 108.19/x
  3. Step 3: Cross multiply
    185.81x = 256.44 × 108.19
  4. Step 4: Simplify right side
    185.81x = 27,744.01
  5. Step 5: Solve for x
    x = 27,744.01/185.81
  6. Step 6: Final answer
    x = 149.31

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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.