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Finding the Fourth Proportional to 167.97, 231.66 and 146.10

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Solution

The fourth proportional to 167.97, 231.66 and 146.10 is: 201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.97 : 231.66 = 146.10 : x
  2. Step 2: Convert to fraction form
    167.97/231.66 = 146.10/x
  3. Step 3: Cross multiply
    167.97x = 231.66 × 146.10
  4. Step 4: Simplify right side
    167.97x = 33,845.53
  5. Step 5: Solve for x
    x = 33,845.53/167.97
  6. Step 6: Final answer
    x = 201.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.