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Finding the Fourth Proportional to 143.60, 197.72 and 119

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Solution

The fourth proportional to 143.60, 197.72 and 119 is: 163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.60 : 197.72 = 119 : x
  2. Step 2: Convert to fraction form
    143.60/197.72 = 119/x
  3. Step 3: Cross multiply
    143.60x = 197.72 × 119
  4. Step 4: Simplify right side
    143.60x = 23,528.68
  5. Step 5: Solve for x
    x = 23,528.68/143.60
  6. Step 6: Final answer
    x = 163.85

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Why These Related Problems?

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