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Finding the Fourth Proportional to 255.97, 353.55 and 254.17

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Solution

The fourth proportional to 255.97, 353.55 and 254.17 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.97 : 353.55 = 254.17 : x
  2. Step 2: Convert to fraction form
    255.97/353.55 = 254.17/x
  3. Step 3: Cross multiply
    255.97x = 353.55 × 254.17
  4. Step 4: Simplify right side
    255.97x = 89,861.80
  5. Step 5: Solve for x
    x = 89,861.80/255.97
  6. Step 6: Final answer
    x = 351.06

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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.