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Finding the Fourth Proportional to 259.22, 388.85 and 85.85

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Solution

The fourth proportional to 259.22, 388.85 and 85.85 is: 128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 388.85 = 85.85 : x
  2. Step 2: Convert to fraction form
    259.22/388.85 = 85.85/x
  3. Step 3: Cross multiply
    259.22x = 388.85 × 85.85
  4. Step 4: Simplify right side
    259.22x = 33,380.40
  5. Step 5: Solve for x
    x = 33,380.40/259.22
  6. Step 6: Final answer
    x = 128.77

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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.