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Finding the Fourth Proportional to 167.95, 230.26 and 164.87

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Solution

The fourth proportional to 167.95, 230.26 and 164.87 is: 226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.95 : 230.26 = 164.87 : x
  2. Step 2: Convert to fraction form
    167.95/230.26 = 164.87/x
  3. Step 3: Cross multiply
    167.95x = 230.26 × 164.87
  4. Step 4: Simplify right side
    167.95x = 37,961.40
  5. Step 5: Solve for x
    x = 37,961.40/167.95
  6. Step 6: Final answer
    x = 226.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.