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Finding the Fourth Proportional to 300.60, 414.75 and 189.99

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Solution

The fourth proportional to 300.60, 414.75 and 189.99 is: 262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.60 : 414.75 = 189.99 : x
  2. Step 2: Convert to fraction form
    300.60/414.75 = 189.99/x
  3. Step 3: Cross multiply
    300.60x = 414.75 × 189.99
  4. Step 4: Simplify right side
    300.60x = 78,798.35
  5. Step 5: Solve for x
    x = 78,798.35/300.60
  6. Step 6: Final answer
    x = 262.14

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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.