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Finding the Fourth Proportional to 259.26, 388.85 and 120.44

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Solution

The fourth proportional to 259.26, 388.85 and 120.44 is: 180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.26 : 388.85 = 120.44 : x
  2. Step 2: Convert to fraction form
    259.26/388.85 = 120.44/x
  3. Step 3: Cross multiply
    259.26x = 388.85 × 120.44
  4. Step 4: Simplify right side
    259.26x = 46,830.55
  5. Step 5: Solve for x
    x = 46,830.55/259.26
  6. Step 6: Final answer
    x = 180.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.