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Finding the Fourth Proportional to 259.78, 388.74 and 208.75

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Solution

The fourth proportional to 259.78, 388.74 and 208.75 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.78 : 388.74 = 208.75 : x
  2. Step 2: Convert to fraction form
    259.78/388.74 = 208.75/x
  3. Step 3: Cross multiply
    259.78x = 388.74 × 208.75
  4. Step 4: Simplify right side
    259.78x = 81,147.53
  5. Step 5: Solve for x
    x = 81,147.53/259.78
  6. Step 6: Final answer
    x = 312.38

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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.