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Finding the Fourth Proportional to 246.18, 369.45 and 198.66

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Solution

The fourth proportional to 246.18, 369.45 and 198.66 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.18 : 369.45 = 198.66 : x
  2. Step 2: Convert to fraction form
    246.18/369.45 = 198.66/x
  3. Step 3: Cross multiply
    246.18x = 369.45 × 198.66
  4. Step 4: Simplify right side
    246.18x = 73,394.94
  5. Step 5: Solve for x
    x = 73,394.94/246.18
  6. Step 6: Final answer
    x = 298.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.