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Finding the Fourth Proportional to 180.75, 271.73 and 167.39

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Solution

The fourth proportional to 180.75, 271.73 and 167.39 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 271.73 = 167.39 : x
  2. Step 2: Convert to fraction form
    180.75/271.73 = 167.39/x
  3. Step 3: Cross multiply
    180.75x = 271.73 × 167.39
  4. Step 4: Simplify right side
    180.75x = 45,482.69
  5. Step 5: Solve for x
    x = 45,482.69/180.75
  6. Step 6: Final answer
    x = 251.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.