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Finding the Fourth Proportional to 198.76, 297.98 and 75.30

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Solution

The fourth proportional to 198.76, 297.98 and 75.30 is: 112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.76 : 297.98 = 75.30 : x
  2. Step 2: Convert to fraction form
    198.76/297.98 = 75.30/x
  3. Step 3: Cross multiply
    198.76x = 297.98 × 75.30
  4. Step 4: Simplify right side
    198.76x = 22,437.89
  5. Step 5: Solve for x
    x = 22,437.89/198.76
  6. Step 6: Final answer
    x = 112.89

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