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Finding the Fourth Proportional to 143.98, 197.61 and 133.02

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Solution

The fourth proportional to 143.98, 197.61 and 133.02 is: 182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.98 : 197.61 = 133.02 : x
  2. Step 2: Convert to fraction form
    143.98/197.61 = 133.02/x
  3. Step 3: Cross multiply
    143.98x = 197.61 × 133.02
  4. Step 4: Simplify right side
    143.98x = 26,286.08
  5. Step 5: Solve for x
    x = 26,286.08/143.98
  6. Step 6: Final answer
    x = 182.57

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