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Finding the Fourth Proportional to 258.62, 356.37 and 199.61

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Solution

The fourth proportional to 258.62, 356.37 and 199.61 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.62 : 356.37 = 199.61 : x
  2. Step 2: Convert to fraction form
    258.62/356.37 = 199.61/x
  3. Step 3: Cross multiply
    258.62x = 356.37 × 199.61
  4. Step 4: Simplify right side
    258.62x = 71,137.51
  5. Step 5: Solve for x
    x = 71,137.51/258.62
  6. Step 6: Final answer
    x = 275.07

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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.