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Finding the Fourth Proportional to 180.36, 270.64 and 119.48

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Solution

The fourth proportional to 180.36, 270.64 and 119.48 is: 179.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 270.64 = 119.48 : x
  2. Step 2: Convert to fraction form
    180.36/270.64 = 119.48/x
  3. Step 3: Cross multiply
    180.36x = 270.64 × 119.48
  4. Step 4: Simplify right side
    180.36x = 32,336.07
  5. Step 5: Solve for x
    x = 32,336.07/180.36
  6. Step 6: Final answer
    x = 179.29

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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.