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Finding the Fourth Proportional to 254.26, 350.69 and 192.09

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Solution

The fourth proportional to 254.26, 350.69 and 192.09 is: 264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.26 : 350.69 = 192.09 : x
  2. Step 2: Convert to fraction form
    254.26/350.69 = 192.09/x
  3. Step 3: Cross multiply
    254.26x = 350.69 × 192.09
  4. Step 4: Simplify right side
    254.26x = 67,365.40
  5. Step 5: Solve for x
    x = 67,365.40/254.26
  6. Step 6: Final answer
    x = 264.95

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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.