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Finding the Fourth Proportional to 184.41, 252.65 and 164.97

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Solution

The fourth proportional to 184.41, 252.65 and 164.97 is: 226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.41 : 252.65 = 164.97 : x
  2. Step 2: Convert to fraction form
    184.41/252.65 = 164.97/x
  3. Step 3: Cross multiply
    184.41x = 252.65 × 164.97
  4. Step 4: Simplify right side
    184.41x = 41,680.08
  5. Step 5: Solve for x
    x = 41,680.08/184.41
  6. Step 6: Final answer
    x = 226.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.