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Finding the Fourth Proportional to 309.26, 426.74 and 191.28

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Solution

The fourth proportional to 309.26, 426.74 and 191.28 is: 263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 426.74 = 191.28 : x
  2. Step 2: Convert to fraction form
    309.26/426.74 = 191.28/x
  3. Step 3: Cross multiply
    309.26x = 426.74 × 191.28
  4. Step 4: Simplify right side
    309.26x = 81,626.83
  5. Step 5: Solve for x
    x = 81,626.83/309.26
  6. Step 6: Final answer
    x = 263.94

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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.