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Finding the Fourth Proportional to 143.64, 197.30 and 141.62

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Solution

The fourth proportional to 143.64, 197.30 and 141.62 is: 194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.64 : 197.30 = 141.62 : x
  2. Step 2: Convert to fraction form
    143.64/197.30 = 141.62/x
  3. Step 3: Cross multiply
    143.64x = 197.30 × 141.62
  4. Step 4: Simplify right side
    143.64x = 27,940.99
  5. Step 5: Solve for x
    x = 27,940.99/143.64
  6. Step 6: Final answer
    x = 194.52

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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.