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Finding the Fourth Proportional to 257.54, 355.54 and 173.64

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Solution

The fourth proportional to 257.54, 355.54 and 173.64 is: 239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.54 : 355.54 = 173.64 : x
  2. Step 2: Convert to fraction form
    257.54/355.54 = 173.64/x
  3. Step 3: Cross multiply
    257.54x = 355.54 × 173.64
  4. Step 4: Simplify right side
    257.54x = 61,735.97
  5. Step 5: Solve for x
    x = 61,735.97/257.54
  6. Step 6: Final answer
    x = 239.71

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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.