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Finding the Fourth Proportional to 258.36, 356.64 and 196.20

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Solution

The fourth proportional to 258.36, 356.64 and 196.20 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.36 : 356.64 = 196.20 : x
  2. Step 2: Convert to fraction form
    258.36/356.64 = 196.20/x
  3. Step 3: Cross multiply
    258.36x = 356.64 × 196.20
  4. Step 4: Simplify right side
    258.36x = 69,972.77
  5. Step 5: Solve for x
    x = 69,972.77/258.36
  6. Step 6: Final answer
    x = 270.83

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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.