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Finding the Fourth Proportional to 300.80, 415.16 and 184.36

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Solution

The fourth proportional to 300.80, 415.16 and 184.36 is: 254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 415.16 = 184.36 : x
  2. Step 2: Convert to fraction form
    300.80/415.16 = 184.36/x
  3. Step 3: Cross multiply
    300.80x = 415.16 × 184.36
  4. Step 4: Simplify right side
    300.80x = 76,538.90
  5. Step 5: Solve for x
    x = 76,538.90/300.80
  6. Step 6: Final answer
    x = 254.45

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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.