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Finding the Fourth Proportional to 167.82, 230.66 and 146.94

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Solution

The fourth proportional to 167.82, 230.66 and 146.94 is: 201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.82 : 230.66 = 146.94 : x
  2. Step 2: Convert to fraction form
    167.82/230.66 = 146.94/x
  3. Step 3: Cross multiply
    167.82x = 230.66 × 146.94
  4. Step 4: Simplify right side
    167.82x = 33,892.45
  5. Step 5: Solve for x
    x = 33,892.45/167.82
  6. Step 6: Final answer
    x = 201.96

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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.