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Finding the Fourth Proportional to 389.94, 584.43 and 195.00

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Solution

The fourth proportional to 389.94, 584.43 and 195.00 is: 292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.94 : 584.43 = 195.00 : x
  2. Step 2: Convert to fraction form
    389.94/584.43 = 195.00/x
  3. Step 3: Cross multiply
    389.94x = 584.43 × 195.00
  4. Step 4: Simplify right side
    389.94x = 113,961.41
  5. Step 5: Solve for x
    x = 113,961.41/389.94
  6. Step 6: Final answer
    x = 292.25

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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.