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Finding the Fourth Proportional to 255.22, 381.97 and 139.35

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Solution

The fourth proportional to 255.22, 381.97 and 139.35 is: 208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.22 : 381.97 = 139.35 : x
  2. Step 2: Convert to fraction form
    255.22/381.97 = 139.35/x
  3. Step 3: Cross multiply
    255.22x = 381.97 × 139.35
  4. Step 4: Simplify right side
    255.22x = 53,228.34
  5. Step 5: Solve for x
    x = 53,228.34/255.22
  6. Step 6: Final answer
    x = 208.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.