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Finding the Fourth Proportional to 533.55, 800.39 and 186.76

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Solution

The fourth proportional to 533.55, 800.39 and 186.76 is: 280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.55 : 800.39 = 186.76 : x
  2. Step 2: Convert to fraction form
    533.55/800.39 = 186.76/x
  3. Step 3: Cross multiply
    533.55x = 800.39 × 186.76
  4. Step 4: Simplify right side
    533.55x = 149,480.84
  5. Step 5: Solve for x
    x = 149,480.84/533.55
  6. Step 6: Final answer
    x = 280.16

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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.