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Finding the Fourth Proportional to 167.40, 231 and 142.80

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Solution

The fourth proportional to 167.40, 231 and 142.80 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.40 : 231 = 142.80 : x
  2. Step 2: Convert to fraction form
    167.40/231 = 142.80/x
  3. Step 3: Cross multiply
    167.40x = 231 × 142.80
  4. Step 4: Simplify right side
    167.40x = 32,986.80
  5. Step 5: Solve for x
    x = 32,986.80/167.40
  6. Step 6: Final answer
    x = 197.05

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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.