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Finding the Fourth Proportional to 533.21, 799.86 and 167.90

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Solution

The fourth proportional to 533.21, 799.86 and 167.90 is: 251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.21 : 799.86 = 167.90 : x
  2. Step 2: Convert to fraction form
    533.21/799.86 = 167.90/x
  3. Step 3: Cross multiply
    533.21x = 799.86 × 167.90
  4. Step 4: Simplify right side
    533.21x = 134,292.49
  5. Step 5: Solve for x
    x = 134,292.49/533.21
  6. Step 6: Final answer
    x = 251.86

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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.