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Finding the Fourth Proportional to 506.66, 759.80 and 198.41

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Solution

The fourth proportional to 506.66, 759.80 and 198.41 is: 297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.66 : 759.80 = 198.41 : x
  2. Step 2: Convert to fraction form
    506.66/759.80 = 198.41/x
  3. Step 3: Cross multiply
    506.66x = 759.80 × 198.41
  4. Step 4: Simplify right side
    506.66x = 150,751.92
  5. Step 5: Solve for x
    x = 150,751.92/506.66
  6. Step 6: Final answer
    x = 297.54

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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.