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Finding the Fourth Proportional to 533.24, 800.22 and 186.57

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Solution

The fourth proportional to 533.24, 800.22 and 186.57 is: 279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.24 : 800.22 = 186.57 : x
  2. Step 2: Convert to fraction form
    533.24/800.22 = 186.57/x
  3. Step 3: Cross multiply
    533.24x = 800.22 × 186.57
  4. Step 4: Simplify right side
    533.24x = 149,297.05
  5. Step 5: Solve for x
    x = 149,297.05/533.24
  6. Step 6: Final answer
    x = 279.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.