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Finding the Fourth Proportional to 259.60, 388.99 and 218.83

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Solution

The fourth proportional to 259.60, 388.99 and 218.83 is: 327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.60 : 388.99 = 218.83 : x
  2. Step 2: Convert to fraction form
    259.60/388.99 = 218.83/x
  3. Step 3: Cross multiply
    259.60x = 388.99 × 218.83
  4. Step 4: Simplify right side
    259.60x = 85,122.68
  5. Step 5: Solve for x
    x = 85,122.68/259.60
  6. Step 6: Final answer
    x = 327.90

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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.