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Finding the Fourth Proportional to 533.03, 799.34 and 186.48

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Solution

The fourth proportional to 533.03, 799.34 and 186.48 is: 279.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.03 : 799.34 = 186.48 : x
  2. Step 2: Convert to fraction form
    533.03/799.34 = 186.48/x
  3. Step 3: Cross multiply
    533.03x = 799.34 × 186.48
  4. Step 4: Simplify right side
    533.03x = 149,059.99
  5. Step 5: Solve for x
    x = 149,059.99/533.03
  6. Step 6: Final answer
    x = 279.65

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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.