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Finding the Fourth Proportional to 387.12, 580.96 and 194.80

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Solution

The fourth proportional to 387.12, 580.96 and 194.80 is: 292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.12 : 580.96 = 194.80 : x
  2. Step 2: Convert to fraction form
    387.12/580.96 = 194.80/x
  3. Step 3: Cross multiply
    387.12x = 580.96 × 194.80
  4. Step 4: Simplify right side
    387.12x = 113,171.01
  5. Step 5: Solve for x
    x = 113,171.01/387.12
  6. Step 6: Final answer
    x = 292.34

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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.