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Finding the Fourth Proportional to 258.29, 356.87 and 205.26

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Solution

The fourth proportional to 258.29, 356.87 and 205.26 is: 283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 356.87 = 205.26 : x
  2. Step 2: Convert to fraction form
    258.29/356.87 = 205.26/x
  3. Step 3: Cross multiply
    258.29x = 356.87 × 205.26
  4. Step 4: Simplify right side
    258.29x = 73,248.33
  5. Step 5: Solve for x
    x = 73,248.33/258.29
  6. Step 6: Final answer
    x = 283.59

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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.