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Finding the Fourth Proportional to 506.20, 759.14 and 197.82

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Solution

The fourth proportional to 506.20, 759.14 and 197.82 is: 296.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.20 : 759.14 = 197.82 : x
  2. Step 2: Convert to fraction form
    506.20/759.14 = 197.82/x
  3. Step 3: Cross multiply
    506.20x = 759.14 × 197.82
  4. Step 4: Simplify right side
    506.20x = 150,173.07
  5. Step 5: Solve for x
    x = 150,173.07/506.20
  6. Step 6: Final answer
    x = 296.67

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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.