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Finding the Fourth Proportional to 180.39, 270.63 and 108.21

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Solution

The fourth proportional to 180.39, 270.63 and 108.21 is: 162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.39 : 270.63 = 108.21 : x
  2. Step 2: Convert to fraction form
    180.39/270.63 = 108.21/x
  3. Step 3: Cross multiply
    180.39x = 270.63 × 108.21
  4. Step 4: Simplify right side
    180.39x = 29,284.87
  5. Step 5: Solve for x
    x = 29,284.87/180.39
  6. Step 6: Final answer
    x = 162.34

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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.