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Finding the Fourth Proportional to 255.90, 352.64 and 239.44

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Solution

The fourth proportional to 255.90, 352.64 and 239.44 is: 329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.90 : 352.64 = 239.44 : x
  2. Step 2: Convert to fraction form
    255.90/352.64 = 239.44/x
  3. Step 3: Cross multiply
    255.90x = 352.64 × 239.44
  4. Step 4: Simplify right side
    255.90x = 84,436.12
  5. Step 5: Solve for x
    x = 84,436.12/255.90
  6. Step 6: Final answer
    x = 329.96

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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.