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Finding the Fourth Proportional to 180.44, 271.73 and 159

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Solution

The fourth proportional to 180.44, 271.73 and 159 is: 239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.44 : 271.73 = 159 : x
  2. Step 2: Convert to fraction form
    180.44/271.73 = 159/x
  3. Step 3: Cross multiply
    180.44x = 271.73 × 159
  4. Step 4: Simplify right side
    180.44x = 43,205.07
  5. Step 5: Solve for x
    x = 43,205.07/180.44
  6. Step 6: Final answer
    x = 239.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.