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Finding the Fourth Proportional to 300.47, 414.63 and 189.95

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Solution

The fourth proportional to 300.47, 414.63 and 189.95 is: 262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.47 : 414.63 = 189.95 : x
  2. Step 2: Convert to fraction form
    300.47/414.63 = 189.95/x
  3. Step 3: Cross multiply
    300.47x = 414.63 × 189.95
  4. Step 4: Simplify right side
    300.47x = 78,756.90
  5. Step 5: Solve for x
    x = 78,756.90/300.47
  6. Step 6: Final answer
    x = 262.11

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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.