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Finding the Fourth Proportional to 185.28, 255.60 and 133.56

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Solution

The fourth proportional to 185.28, 255.60 and 133.56 is: 184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 255.60 = 133.56 : x
  2. Step 2: Convert to fraction form
    185.28/255.60 = 133.56/x
  3. Step 3: Cross multiply
    185.28x = 255.60 × 133.56
  4. Step 4: Simplify right side
    185.28x = 34,137.94
  5. Step 5: Solve for x
    x = 34,137.94/185.28
  6. Step 6: Final answer
    x = 184.25

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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.