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Finding the Fourth Proportional to 208.26, 313.71 and 190.23

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Solution

The fourth proportional to 208.26, 313.71 and 190.23 is: 286.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.26 : 313.71 = 190.23 : x
  2. Step 2: Convert to fraction form
    208.26/313.71 = 190.23/x
  3. Step 3: Cross multiply
    208.26x = 313.71 × 190.23
  4. Step 4: Simplify right side
    208.26x = 59,677.05
  5. Step 5: Solve for x
    x = 59,677.05/208.26
  6. Step 6: Final answer
    x = 286.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.