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Finding the Fourth Proportional to 259.26, 388.83 and 105.14

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Solution

The fourth proportional to 259.26, 388.83 and 105.14 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.26 : 388.83 = 105.14 : x
  2. Step 2: Convert to fraction form
    259.26/388.83 = 105.14/x
  3. Step 3: Cross multiply
    259.26x = 388.83 × 105.14
  4. Step 4: Simplify right side
    259.26x = 40,881.59
  5. Step 5: Solve for x
    x = 40,881.59/259.26
  6. Step 6: Final answer
    x = 157.69

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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.