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Finding the Fourth Proportional to 259.28, 388.93 and 105.20

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Solution

The fourth proportional to 259.28, 388.93 and 105.20 is: 157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.28 : 388.93 = 105.20 : x
  2. Step 2: Convert to fraction form
    259.28/388.93 = 105.20/x
  3. Step 3: Cross multiply
    259.28x = 388.93 × 105.20
  4. Step 4: Simplify right side
    259.28x = 40,915.44
  5. Step 5: Solve for x
    x = 40,915.44/259.28
  6. Step 6: Final answer
    x = 157.81

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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.