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Finding the Fourth Proportional to 309.52, 426.96 and 198.96

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Solution

The fourth proportional to 309.52, 426.96 and 198.96 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.52 : 426.96 = 198.96 : x
  2. Step 2: Convert to fraction form
    309.52/426.96 = 198.96/x
  3. Step 3: Cross multiply
    309.52x = 426.96 × 198.96
  4. Step 4: Simplify right side
    309.52x = 84,947.96
  5. Step 5: Solve for x
    x = 84,947.96/309.52
  6. Step 6: Final answer
    x = 274.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.