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Finding the Fourth Proportional to 255.76, 383.89 and 134.11

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Solution

The fourth proportional to 255.76, 383.89 and 134.11 is: 201.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.76 : 383.89 = 134.11 : x
  2. Step 2: Convert to fraction form
    255.76/383.89 = 134.11/x
  3. Step 3: Cross multiply
    255.76x = 383.89 × 134.11
  4. Step 4: Simplify right side
    255.76x = 51,481.72
  5. Step 5: Solve for x
    x = 51,481.72/255.76
  6. Step 6: Final answer
    x = 201.29

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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.