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Finding the Fourth Proportional to 345.98, 518.97 and 218.54

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Solution

The fourth proportional to 345.98, 518.97 and 218.54 is: 327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.98 : 518.97 = 218.54 : x
  2. Step 2: Convert to fraction form
    345.98/518.97 = 218.54/x
  3. Step 3: Cross multiply
    345.98x = 518.97 × 218.54
  4. Step 4: Simplify right side
    345.98x = 113,415.70
  5. Step 5: Solve for x
    x = 113,415.70/345.98
  6. Step 6: Final answer
    x = 327.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.