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Finding the Fourth Proportional to 300.98, 416.34 and 251.78

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Solution

The fourth proportional to 300.98, 416.34 and 251.78 is: 348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.98 : 416.34 = 251.78 : x
  2. Step 2: Convert to fraction form
    300.98/416.34 = 251.78/x
  3. Step 3: Cross multiply
    300.98x = 416.34 × 251.78
  4. Step 4: Simplify right side
    300.98x = 104,824.00
  5. Step 5: Solve for x
    x = 104,824.00/300.98
  6. Step 6: Final answer
    x = 348.27

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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.