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Finding the Fourth Proportional to 180.33, 270.44 and 128.54

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Solution

The fourth proportional to 180.33, 270.44 and 128.54 is: 192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.33 : 270.44 = 128.54 : x
  2. Step 2: Convert to fraction form
    180.33/270.44 = 128.54/x
  3. Step 3: Cross multiply
    180.33x = 270.44 × 128.54
  4. Step 4: Simplify right side
    180.33x = 34,761.35
  5. Step 5: Solve for x
    x = 34,761.35/180.33
  6. Step 6: Final answer
    x = 192.77

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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.