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Finding the Fourth Proportional to 184.68, 255.91 and 180.43

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Solution

The fourth proportional to 184.68, 255.91 and 180.43 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 255.91 = 180.43 : x
  2. Step 2: Convert to fraction form
    184.68/255.91 = 180.43/x
  3. Step 3: Cross multiply
    184.68x = 255.91 × 180.43
  4. Step 4: Simplify right side
    184.68x = 46,173.09
  5. Step 5: Solve for x
    x = 46,173.09/184.68
  6. Step 6: Final answer
    x = 250.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.