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Finding the Fourth Proportional to 299.90, 414.04 and 189.54

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Solution

The fourth proportional to 299.90, 414.04 and 189.54 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 414.04 = 189.54 : x
  2. Step 2: Convert to fraction form
    299.90/414.04 = 189.54/x
  3. Step 3: Cross multiply
    299.90x = 414.04 × 189.54
  4. Step 4: Simplify right side
    299.90x = 78,477.14
  5. Step 5: Solve for x
    x = 78,477.14/299.90
  6. Step 6: Final answer
    x = 261.68

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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.