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Finding the Fourth Proportional to 300.86, 415.33 and 201.44

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Solution

The fourth proportional to 300.86, 415.33 and 201.44 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.86 : 415.33 = 201.44 : x
  2. Step 2: Convert to fraction form
    300.86/415.33 = 201.44/x
  3. Step 3: Cross multiply
    300.86x = 415.33 × 201.44
  4. Step 4: Simplify right side
    300.86x = 83,664.08
  5. Step 5: Solve for x
    x = 83,664.08/300.86
  6. Step 6: Final answer
    x = 278.08

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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.