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Finding the Fourth Proportional to 506.15, 758.82 and 197.94

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Solution

The fourth proportional to 506.15, 758.82 and 197.94 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.15 : 758.82 = 197.94 : x
  2. Step 2: Convert to fraction form
    506.15/758.82 = 197.94/x
  3. Step 3: Cross multiply
    506.15x = 758.82 × 197.94
  4. Step 4: Simplify right side
    506.15x = 150,200.83
  5. Step 5: Solve for x
    x = 150,200.83/506.15
  6. Step 6: Final answer
    x = 296.75

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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.