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Finding the Fourth Proportional to 300.23, 414.29 and 189.70

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Solution

The fourth proportional to 300.23, 414.29 and 189.70 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.23 : 414.29 = 189.70 : x
  2. Step 2: Convert to fraction form
    300.23/414.29 = 189.70/x
  3. Step 3: Cross multiply
    300.23x = 414.29 × 189.70
  4. Step 4: Simplify right side
    300.23x = 78,589.86
  5. Step 5: Solve for x
    x = 78,589.86/300.23
  6. Step 6: Final answer
    x = 261.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.