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Finding the Fourth Proportional to 258.19, 355.94 and 205.27

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Solution

The fourth proportional to 258.19, 355.94 and 205.27 is: 282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 355.94 = 205.27 : x
  2. Step 2: Convert to fraction form
    258.19/355.94 = 205.27/x
  3. Step 3: Cross multiply
    258.19x = 355.94 × 205.27
  4. Step 4: Simplify right side
    258.19x = 73,062.78
  5. Step 5: Solve for x
    x = 73,062.78/258.19
  6. Step 6: Final answer
    x = 282.98

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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.