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Finding the Fourth Proportional to 257.78, 386.67 and 222.55

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Solution

The fourth proportional to 257.78, 386.67 and 222.55 is: 333.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.78 : 386.67 = 222.55 : x
  2. Step 2: Convert to fraction form
    257.78/386.67 = 222.55/x
  3. Step 3: Cross multiply
    257.78x = 386.67 × 222.55
  4. Step 4: Simplify right side
    257.78x = 86,053.41
  5. Step 5: Solve for x
    x = 86,053.41/257.78
  6. Step 6: Final answer
    x = 333.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.