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Finding the Fourth Proportional to 301.36, 415.92 and 198.04

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Solution

The fourth proportional to 301.36, 415.92 and 198.04 is: 273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.36 : 415.92 = 198.04 : x
  2. Step 2: Convert to fraction form
    301.36/415.92 = 198.04/x
  3. Step 3: Cross multiply
    301.36x = 415.92 × 198.04
  4. Step 4: Simplify right side
    301.36x = 82,368.80
  5. Step 5: Solve for x
    x = 82,368.80/301.36
  6. Step 6: Final answer
    x = 273.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.