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Finding the Fourth Proportional to 258.27, 355.55 and 223.78

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Solution

The fourth proportional to 258.27, 355.55 and 223.78 is: 308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.27 : 355.55 = 223.78 : x
  2. Step 2: Convert to fraction form
    258.27/355.55 = 223.78/x
  3. Step 3: Cross multiply
    258.27x = 355.55 × 223.78
  4. Step 4: Simplify right side
    258.27x = 79,562.97
  5. Step 5: Solve for x
    x = 79,562.97/258.27
  6. Step 6: Final answer
    x = 308.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.