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Finding the Fourth Proportional to 300.30, 414.45 and 189.77

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Solution

The fourth proportional to 300.30, 414.45 and 189.77 is: 261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.30 : 414.45 = 189.77 : x
  2. Step 2: Convert to fraction form
    300.30/414.45 = 189.77/x
  3. Step 3: Cross multiply
    300.30x = 414.45 × 189.77
  4. Step 4: Simplify right side
    300.30x = 78,648.10
  5. Step 5: Solve for x
    x = 78,648.10/300.30
  6. Step 6: Final answer
    x = 261.90

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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.