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Finding the Fourth Proportional to 506.26, 759.50 and 198.13

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Solution

The fourth proportional to 506.26, 759.50 and 198.13 is: 297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.26 : 759.50 = 198.13 : x
  2. Step 2: Convert to fraction form
    506.26/759.50 = 198.13/x
  3. Step 3: Cross multiply
    506.26x = 759.50 × 198.13
  4. Step 4: Simplify right side
    506.26x = 150,479.74
  5. Step 5: Solve for x
    x = 150,479.74/506.26
  6. Step 6: Final answer
    x = 297.24

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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.