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Finding the Fourth Proportional to 184.98, 255.27 and 119.61

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Solution

The fourth proportional to 184.98, 255.27 and 119.61 is: 165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.98 : 255.27 = 119.61 : x
  2. Step 2: Convert to fraction form
    184.98/255.27 = 119.61/x
  3. Step 3: Cross multiply
    184.98x = 255.27 × 119.61
  4. Step 4: Simplify right side
    184.98x = 30,532.84
  5. Step 5: Solve for x
    x = 30,532.84/184.98
  6. Step 6: Final answer
    x = 165.06

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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.