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Finding the Fourth Proportional to 289.85, 400 and 165.53

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Solution

The fourth proportional to 289.85, 400 and 165.53 is: 228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.85 : 400 = 165.53 : x
  2. Step 2: Convert to fraction form
    289.85/400 = 165.53/x
  3. Step 3: Cross multiply
    289.85x = 400 × 165.53
  4. Step 4: Simplify right side
    289.85x = 66,212
  5. Step 5: Solve for x
    x = 66,212/289.85
  6. Step 6: Final answer
    x = 228.44

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