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Finding the Fourth Proportional to 198.59, 297.94 and 160.42

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Solution

The fourth proportional to 198.59, 297.94 and 160.42 is: 240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.59 : 297.94 = 160.42 : x
  2. Step 2: Convert to fraction form
    198.59/297.94 = 160.42/x
  3. Step 3: Cross multiply
    198.59x = 297.94 × 160.42
  4. Step 4: Simplify right side
    198.59x = 47,795.13
  5. Step 5: Solve for x
    x = 47,795.13/198.59
  6. Step 6: Final answer
    x = 240.67

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