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Finding the Fourth Proportional to 255.27, 352.27 and 144.77

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Solution

The fourth proportional to 255.27, 352.27 and 144.77 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.27 : 352.27 = 144.77 : x
  2. Step 2: Convert to fraction form
    255.27/352.27 = 144.77/x
  3. Step 3: Cross multiply
    255.27x = 352.27 × 144.77
  4. Step 4: Simplify right side
    255.27x = 50,996.55
  5. Step 5: Solve for x
    x = 50,996.55/255.27
  6. Step 6: Final answer
    x = 199.77

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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.