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Finding the Fourth Proportional to 506.16, 759.21 and 197.96

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Solution

The fourth proportional to 506.16, 759.21 and 197.96 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 759.21 = 197.96 : x
  2. Step 2: Convert to fraction form
    506.16/759.21 = 197.96/x
  3. Step 3: Cross multiply
    506.16x = 759.21 × 197.96
  4. Step 4: Simplify right side
    506.16x = 150,288.67
  5. Step 5: Solve for x
    x = 150,288.67/506.16
  6. Step 6: Final answer
    x = 296.92

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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.