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Finding the Fourth Proportional to 255.35, 352.35 and 143.31

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Solution

The fourth proportional to 255.35, 352.35 and 143.31 is: 197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.35 : 352.35 = 143.31 : x
  2. Step 2: Convert to fraction form
    255.35/352.35 = 143.31/x
  3. Step 3: Cross multiply
    255.35x = 352.35 × 143.31
  4. Step 4: Simplify right side
    255.35x = 50,497.14
  5. Step 5: Solve for x
    x = 50,497.14/255.35
  6. Step 6: Final answer
    x = 197.76

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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.