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Finding the Fourth Proportional to 180.03, 268.73 and 167.37

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Solution

The fourth proportional to 180.03, 268.73 and 167.37 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.03 : 268.73 = 167.37 : x
  2. Step 2: Convert to fraction form
    180.03/268.73 = 167.37/x
  3. Step 3: Cross multiply
    180.03x = 268.73 × 167.37
  4. Step 4: Simplify right side
    180.03x = 44,977.34
  5. Step 5: Solve for x
    x = 44,977.34/180.03
  6. Step 6: Final answer
    x = 249.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.