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Finding the Fourth Proportional to 259.22, 357.75 and 196.96

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Solution

The fourth proportional to 259.22, 357.75 and 196.96 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.22 : 357.75 = 196.96 : x
  2. Step 2: Convert to fraction form
    259.22/357.75 = 196.96/x
  3. Step 3: Cross multiply
    259.22x = 357.75 × 196.96
  4. Step 4: Simplify right side
    259.22x = 70,459.67
  5. Step 5: Solve for x
    x = 70,459.67/259.22
  6. Step 6: Final answer
    x = 271.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.