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Finding the Fourth Proportional to 180.94, 249.64 and 110.98

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Solution

The fourth proportional to 180.94, 249.64 and 110.98 is: 153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.94 : 249.64 = 110.98 : x
  2. Step 2: Convert to fraction form
    180.94/249.64 = 110.98/x
  3. Step 3: Cross multiply
    180.94x = 249.64 × 110.98
  4. Step 4: Simplify right side
    180.94x = 27,704.15
  5. Step 5: Solve for x
    x = 27,704.15/180.94
  6. Step 6: Final answer
    x = 153.11

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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.