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Finding the Fourth Proportional to 180.62, 249.20 and 118.50

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Solution

The fourth proportional to 180.62, 249.20 and 118.50 is: 163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.62 : 249.20 = 118.50 : x
  2. Step 2: Convert to fraction form
    180.62/249.20 = 118.50/x
  3. Step 3: Cross multiply
    180.62x = 249.20 × 118.50
  4. Step 4: Simplify right side
    180.62x = 29,530.20
  5. Step 5: Solve for x
    x = 29,530.20/180.62
  6. Step 6: Final answer
    x = 163.49

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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.