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Finding the Fourth Proportional to 180.94, 249.66 and 107.22

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Solution

The fourth proportional to 180.94, 249.66 and 107.22 is: 147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 249.66 = 107.22 : x
  2. Step 2: Convert to fraction form
    180.94/249.66 = 107.22/x
  3. Step 3: Cross multiply
    180.94x = 249.66 × 107.22
  4. Step 4: Simplify right side
    180.94x = 26,768.55
  5. Step 5: Solve for x
    x = 26,768.55/180.94
  6. Step 6: Final answer
    x = 147.94

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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.