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Finding the Fourth Proportional to 189.21, 283.64 and 97.70

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Solution

The fourth proportional to 189.21, 283.64 and 97.70 is: 146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.21 : 283.64 = 97.70 : x
  2. Step 2: Convert to fraction form
    189.21/283.64 = 97.70/x
  3. Step 3: Cross multiply
    189.21x = 283.64 × 97.70
  4. Step 4: Simplify right side
    189.21x = 27,711.63
  5. Step 5: Solve for x
    x = 27,711.63/189.21
  6. Step 6: Final answer
    x = 146.46

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