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Finding the Fourth Proportional to 301.86, 415.89 and 198.18

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Solution

The fourth proportional to 301.86, 415.89 and 198.18 is: 273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.86 : 415.89 = 198.18 : x
  2. Step 2: Convert to fraction form
    301.86/415.89 = 198.18/x
  3. Step 3: Cross multiply
    301.86x = 415.89 × 198.18
  4. Step 4: Simplify right side
    301.86x = 82,421.08
  5. Step 5: Solve for x
    x = 82,421.08/301.86
  6. Step 6: Final answer
    x = 273.04

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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.