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Finding the Fourth Proportional to 259.49, 357.89 and 196.68

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Solution

The fourth proportional to 259.49, 357.89 and 196.68 is: 271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 357.89 = 196.68 : x
  2. Step 2: Convert to fraction form
    259.49/357.89 = 196.68/x
  3. Step 3: Cross multiply
    259.49x = 357.89 × 196.68
  4. Step 4: Simplify right side
    259.49x = 70,388.82
  5. Step 5: Solve for x
    x = 70,388.82/259.49
  6. Step 6: Final answer
    x = 271.26

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