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Finding the Fourth Proportional to 400.23, 600.08 and 194.90

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Solution

The fourth proportional to 400.23, 600.08 and 194.90 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.23 : 600.08 = 194.90 : x
  2. Step 2: Convert to fraction form
    400.23/600.08 = 194.90/x
  3. Step 3: Cross multiply
    400.23x = 600.08 × 194.90
  4. Step 4: Simplify right side
    400.23x = 116,951.62
  5. Step 5: Solve for x
    x = 116,951.62/400.23
  6. Step 6: Final answer
    x = 292.21

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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.