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Finding the Fourth Proportional to 506.25, 759 and 198

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Solution

The fourth proportional to 506.25, 759 and 198 is: 296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 759 = 198 : x
  2. Step 2: Convert to fraction form
    506.25/759 = 198/x
  3. Step 3: Cross multiply
    506.25x = 759 × 198
  4. Step 4: Simplify right side
    506.25x = 150,282
  5. Step 5: Solve for x
    x = 150,282/506.25
  6. Step 6: Final answer
    x = 296.85

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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.