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Finding the Fourth Proportional to 259.09, 388.48 and 121.99

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Solution

The fourth proportional to 259.09, 388.48 and 121.99 is: 182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.09 : 388.48 = 121.99 : x
  2. Step 2: Convert to fraction form
    259.09/388.48 = 121.99/x
  3. Step 3: Cross multiply
    259.09x = 388.48 × 121.99
  4. Step 4: Simplify right side
    259.09x = 47,390.68
  5. Step 5: Solve for x
    x = 47,390.68/259.09
  6. Step 6: Final answer
    x = 182.91

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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.