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Finding the Fourth Proportional to 533.67, 800.16 and 186.85

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Solution

The fourth proportional to 533.67, 800.16 and 186.85 is: 280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.67 : 800.16 = 186.85 : x
  2. Step 2: Convert to fraction form
    533.67/800.16 = 186.85/x
  3. Step 3: Cross multiply
    533.67x = 800.16 × 186.85
  4. Step 4: Simplify right side
    533.67x = 149,509.90
  5. Step 5: Solve for x
    x = 149,509.90/533.67
  6. Step 6: Final answer
    x = 280.15

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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.