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Finding the Fourth Proportional to 533.44, 800.24 and 186.68

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Solution

The fourth proportional to 533.44, 800.24 and 186.68 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.44 : 800.24 = 186.68 : x
  2. Step 2: Convert to fraction form
    533.44/800.24 = 186.68/x
  3. Step 3: Cross multiply
    533.44x = 800.24 × 186.68
  4. Step 4: Simplify right side
    533.44x = 149,389.87
  5. Step 5: Solve for x
    x = 149,389.87/533.44
  6. Step 6: Final answer
    x = 280.05

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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.