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Finding the Fourth Proportional to 302.99, 418.19 and 198.20

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Solution

The fourth proportional to 302.99, 418.19 and 198.20 is: 273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.99 : 418.19 = 198.20 : x
  2. Step 2: Convert to fraction form
    302.99/418.19 = 198.20/x
  3. Step 3: Cross multiply
    302.99x = 418.19 × 198.20
  4. Step 4: Simplify right side
    302.99x = 82,882.18
  5. Step 5: Solve for x
    x = 82,882.18/302.99
  6. Step 6: Final answer
    x = 273.55

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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.