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Finding the Fourth Proportional to 533.41, 800.09 and 148.66

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Solution

The fourth proportional to 533.41, 800.09 and 148.66 is: 222.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.41 : 800.09 = 148.66 : x
  2. Step 2: Convert to fraction form
    533.41/800.09 = 148.66/x
  3. Step 3: Cross multiply
    533.41x = 800.09 × 148.66
  4. Step 4: Simplify right side
    533.41x = 118,940.03
  5. Step 5: Solve for x
    x = 118,940.03/533.41
  6. Step 6: Final answer
    x = 222.98

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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.