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Finding the Fourth Proportional to 303.66, 418.89 and 198.92

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Solution

The fourth proportional to 303.66, 418.89 and 198.92 is: 274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.66 : 418.89 = 198.92 : x
  2. Step 2: Convert to fraction form
    303.66/418.89 = 198.92/x
  3. Step 3: Cross multiply
    303.66x = 418.89 × 198.92
  4. Step 4: Simplify right side
    303.66x = 83,324.93
  5. Step 5: Solve for x
    x = 83,324.93/303.66
  6. Step 6: Final answer
    x = 274.41

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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.