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Finding the Fourth Proportional to 533.07, 799.81 and 186.44

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Solution

The fourth proportional to 533.07, 799.81 and 186.44 is: 279.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.07 : 799.81 = 186.44 : x
  2. Step 2: Convert to fraction form
    533.07/799.81 = 186.44/x
  3. Step 3: Cross multiply
    533.07x = 799.81 × 186.44
  4. Step 4: Simplify right side
    533.07x = 149,116.58
  5. Step 5: Solve for x
    x = 149,116.58/533.07
  6. Step 6: Final answer
    x = 279.73

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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.