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Finding the Fourth Proportional to 258.83, 357.41 and 203.82

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Solution

The fourth proportional to 258.83, 357.41 and 203.82 is: 281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 357.41 = 203.82 : x
  2. Step 2: Convert to fraction form
    258.83/357.41 = 203.82/x
  3. Step 3: Cross multiply
    258.83x = 357.41 × 203.82
  4. Step 4: Simplify right side
    258.83x = 72,846.29
  5. Step 5: Solve for x
    x = 72,846.29/258.83
  6. Step 6: Final answer
    x = 281.45

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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.