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Finding the Fourth Proportional to 184.81, 255.03 and 111.09

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Solution

The fourth proportional to 184.81, 255.03 and 111.09 is: 153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.81 : 255.03 = 111.09 : x
  2. Step 2: Convert to fraction form
    184.81/255.03 = 111.09/x
  3. Step 3: Cross multiply
    184.81x = 255.03 × 111.09
  4. Step 4: Simplify right side
    184.81x = 28,331.28
  5. Step 5: Solve for x
    x = 28,331.28/184.81
  6. Step 6: Final answer
    x = 153.30

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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.