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Finding the Fourth Proportional to 180.63, 249.19 and 118.38

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Solution

The fourth proportional to 180.63, 249.19 and 118.38 is: 163.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.63 : 249.19 = 118.38 : x
  2. Step 2: Convert to fraction form
    180.63/249.19 = 118.38/x
  3. Step 3: Cross multiply
    180.63x = 249.19 × 118.38
  4. Step 4: Simplify right side
    180.63x = 29,497.88
  5. Step 5: Solve for x
    x = 29,497.88/180.63
  6. Step 6: Final answer
    x = 163.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.