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Finding the Fourth Proportional to 300.90, 415.29 and 184.44

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Solution

The fourth proportional to 300.90, 415.29 and 184.44 is: 254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 415.29 = 184.44 : x
  2. Step 2: Convert to fraction form
    300.90/415.29 = 184.44/x
  3. Step 3: Cross multiply
    300.90x = 415.29 × 184.44
  4. Step 4: Simplify right side
    300.90x = 76,596.09
  5. Step 5: Solve for x
    x = 76,596.09/300.90
  6. Step 6: Final answer
    x = 254.56

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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.