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Finding the Fourth Proportional to 255.96, 352.38 and 197.64

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Solution

The fourth proportional to 255.96, 352.38 and 197.64 is: 272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 352.38 = 197.64 : x
  2. Step 2: Convert to fraction form
    255.96/352.38 = 197.64/x
  3. Step 3: Cross multiply
    255.96x = 352.38 × 197.64
  4. Step 4: Simplify right side
    255.96x = 69,644.38
  5. Step 5: Solve for x
    x = 69,644.38/255.96
  6. Step 6: Final answer
    x = 272.09

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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.