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Finding the Fourth Proportional to 533.84, 800.67 and 149

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Solution

The fourth proportional to 533.84, 800.67 and 149 is: 223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 800.67 = 149 : x
  2. Step 2: Convert to fraction form
    533.84/800.67 = 149/x
  3. Step 3: Cross multiply
    533.84x = 800.67 × 149
  4. Step 4: Simplify right side
    533.84x = 119,299.83
  5. Step 5: Solve for x
    x = 119,299.83/533.84
  6. Step 6: Final answer
    x = 223.47

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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.