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Finding the Fourth Proportional to 258.31, 356.77 and 196.04

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Solution

The fourth proportional to 258.31, 356.77 and 196.04 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.31 : 356.77 = 196.04 : x
  2. Step 2: Convert to fraction form
    258.31/356.77 = 196.04/x
  3. Step 3: Cross multiply
    258.31x = 356.77 × 196.04
  4. Step 4: Simplify right side
    258.31x = 69,938.92
  5. Step 5: Solve for x
    x = 69,938.92/258.31
  6. Step 6: Final answer
    x = 270.76

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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.