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Finding the Fourth Proportional to 167.37, 230.77 and 111.99

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Solution

The fourth proportional to 167.37, 230.77 and 111.99 is: 154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.37 : 230.77 = 111.99 : x
  2. Step 2: Convert to fraction form
    167.37/230.77 = 111.99/x
  3. Step 3: Cross multiply
    167.37x = 230.77 × 111.99
  4. Step 4: Simplify right side
    167.37x = 25,844.07
  5. Step 5: Solve for x
    x = 25,844.07/167.37
  6. Step 6: Final answer
    x = 154.41

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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.