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Finding the Fourth Proportional to 180.94, 249.78 and 114.62

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Solution

The fourth proportional to 180.94, 249.78 and 114.62 is: 158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 249.78 = 114.62 : x
  2. Step 2: Convert to fraction form
    180.94/249.78 = 114.62/x
  3. Step 3: Cross multiply
    180.94x = 249.78 × 114.62
  4. Step 4: Simplify right side
    180.94x = 28,629.78
  5. Step 5: Solve for x
    x = 28,629.78/180.94
  6. Step 6: Final answer
    x = 158.23

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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.