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Finding the Fourth Proportional to 180.69, 270.96 and 108.46

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Solution

The fourth proportional to 180.69, 270.96 and 108.46 is: 162.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 270.96 = 108.46 : x
  2. Step 2: Convert to fraction form
    180.69/270.96 = 108.46/x
  3. Step 3: Cross multiply
    180.69x = 270.96 × 108.46
  4. Step 4: Simplify right side
    180.69x = 29,388.32
  5. Step 5: Solve for x
    x = 29,388.32/180.69
  6. Step 6: Final answer
    x = 162.64

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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.