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Finding the Fourth Proportional to 533.81, 800.81 and 187.04

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Solution

The fourth proportional to 533.81, 800.81 and 187.04 is: 280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.81 : 800.81 = 187.04 : x
  2. Step 2: Convert to fraction form
    533.81/800.81 = 187.04/x
  3. Step 3: Cross multiply
    533.81x = 800.81 × 187.04
  4. Step 4: Simplify right side
    533.81x = 149,778.56
  5. Step 5: Solve for x
    x = 149,778.56/533.81
  6. Step 6: Final answer
    x = 280.59

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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.