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Finding the Fourth Proportional to 180.82, 249.45 and 118.63

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Solution

The fourth proportional to 180.82, 249.45 and 118.63 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.82 : 249.45 = 118.63 : x
  2. Step 2: Convert to fraction form
    180.82/249.45 = 118.63/x
  3. Step 3: Cross multiply
    180.82x = 249.45 × 118.63
  4. Step 4: Simplify right side
    180.82x = 29,592.12
  5. Step 5: Solve for x
    x = 29,592.12/180.82
  6. Step 6: Final answer
    x = 163.66

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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.