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Finding the Fourth Proportional to 533.82, 800.75 and 149.07

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Solution

The fourth proportional to 533.82, 800.75 and 149.07 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.82 : 800.75 = 149.07 : x
  2. Step 2: Convert to fraction form
    533.82/800.75 = 149.07/x
  3. Step 3: Cross multiply
    533.82x = 800.75 × 149.07
  4. Step 4: Simplify right side
    533.82x = 119,367.80
  5. Step 5: Solve for x
    x = 119,367.80/533.82
  6. Step 6: Final answer
    x = 223.61

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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.