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Finding the Fourth Proportional to 309.10, 426.50 and 198.56

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Solution

The fourth proportional to 309.10, 426.50 and 198.56 is: 273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.10 : 426.50 = 198.56 : x
  2. Step 2: Convert to fraction form
    309.10/426.50 = 198.56/x
  3. Step 3: Cross multiply
    309.10x = 426.50 × 198.56
  4. Step 4: Simplify right side
    309.10x = 84,685.84
  5. Step 5: Solve for x
    x = 84,685.84/309.10
  6. Step 6: Final answer
    x = 273.98

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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.