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Finding the Fourth Proportional to 143.84, 197.69 and 134.73

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Solution

The fourth proportional to 143.84, 197.69 and 134.73 is: 185.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 197.69 = 134.73 : x
  2. Step 2: Convert to fraction form
    143.84/197.69 = 134.73/x
  3. Step 3: Cross multiply
    143.84x = 197.69 × 134.73
  4. Step 4: Simplify right side
    143.84x = 26,634.10
  5. Step 5: Solve for x
    x = 26,634.10/143.84
  6. Step 6: Final answer
    x = 185.16

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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.