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Finding the Fourth Proportional to 394.20, 590.49 and 188.15

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Solution

The fourth proportional to 394.20, 590.49 and 188.15 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 590.49 = 188.15 : x
  2. Step 2: Convert to fraction form
    394.20/590.49 = 188.15/x
  3. Step 3: Cross multiply
    394.20x = 590.49 × 188.15
  4. Step 4: Simplify right side
    394.20x = 111,097.74
  5. Step 5: Solve for x
    x = 111,097.74/394.20
  6. Step 6: Final answer
    x = 281.83

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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.