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Finding the Fourth Proportional to 185.28, 255.69 and 111.60

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Solution

The fourth proportional to 185.28, 255.69 and 111.60 is: 154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 255.69 = 111.60 : x
  2. Step 2: Convert to fraction form
    185.28/255.69 = 111.60/x
  3. Step 3: Cross multiply
    185.28x = 255.69 × 111.60
  4. Step 4: Simplify right side
    185.28x = 28,535.00
  5. Step 5: Solve for x
    x = 28,535.00/185.28
  6. Step 6: Final answer
    x = 154.01

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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.