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Finding the Fourth Proportional to 180.68, 249.14 and 118.49

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Solution

The fourth proportional to 180.68, 249.14 and 118.49 is: 163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.68 : 249.14 = 118.49 : x
  2. Step 2: Convert to fraction form
    180.68/249.14 = 118.49/x
  3. Step 3: Cross multiply
    180.68x = 249.14 × 118.49
  4. Step 4: Simplify right side
    180.68x = 29,518.76
  5. Step 5: Solve for x
    x = 29,518.76/180.68
  6. Step 6: Final answer
    x = 163.38

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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.