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Finding the Fourth Proportional to 259.22, 388.83 and 96.86

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Solution

The fourth proportional to 259.22, 388.83 and 96.86 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 388.83 = 96.86 : x
  2. Step 2: Convert to fraction form
    259.22/388.83 = 96.86/x
  3. Step 3: Cross multiply
    259.22x = 388.83 × 96.86
  4. Step 4: Simplify right side
    259.22x = 37,662.07
  5. Step 5: Solve for x
    x = 37,662.07/259.22
  6. Step 6: Final answer
    x = 145.29

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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.