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Finding the Fourth Proportional to 309.27, 426.58 and 198.57

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Solution

The fourth proportional to 309.27, 426.58 and 198.57 is: 273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.27 : 426.58 = 198.57 : x
  2. Step 2: Convert to fraction form
    309.27/426.58 = 198.57/x
  3. Step 3: Cross multiply
    309.27x = 426.58 × 198.57
  4. Step 4: Simplify right side
    309.27x = 84,705.99
  5. Step 5: Solve for x
    x = 84,705.99/309.27
  6. Step 6: Final answer
    x = 273.89

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