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Finding the Fourth Proportional to 204.02, 305.68 and 145.94

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Solution

The fourth proportional to 204.02, 305.68 and 145.94 is: 218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.02 : 305.68 = 145.94 : x
  2. Step 2: Convert to fraction form
    204.02/305.68 = 145.94/x
  3. Step 3: Cross multiply
    204.02x = 305.68 × 145.94
  4. Step 4: Simplify right side
    204.02x = 44,611.34
  5. Step 5: Solve for x
    x = 44,611.34/204.02
  6. Step 6: Final answer
    x = 218.67

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