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Finding the Fourth Proportional to 533.25, 799.84 and 163.05

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Solution

The fourth proportional to 533.25, 799.84 and 163.05 is: 244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.25 : 799.84 = 163.05 : x
  2. Step 2: Convert to fraction form
    533.25/799.84 = 163.05/x
  3. Step 3: Cross multiply
    533.25x = 799.84 × 163.05
  4. Step 4: Simplify right side
    533.25x = 130,411.12
  5. Step 5: Solve for x
    x = 130,411.12/533.25
  6. Step 6: Final answer
    x = 244.56

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Why These Related Problems?

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