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Finding the Fourth Proportional to 533.30, 800.05 and 168.20

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Solution

The fourth proportional to 533.30, 800.05 and 168.20 is: 252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.30 : 800.05 = 168.20 : x
  2. Step 2: Convert to fraction form
    533.30/800.05 = 168.20/x
  3. Step 3: Cross multiply
    533.30x = 800.05 × 168.20
  4. Step 4: Simplify right side
    533.30x = 134,563.99
  5. Step 5: Solve for x
    x = 134,563.99/533.30
  6. Step 6: Final answer
    x = 252.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.