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Finding the Fourth Proportional to 300.61, 414.87 and 196.00

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Solution

The fourth proportional to 300.61, 414.87 and 196.00 is: 270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.61 : 414.87 = 196.00 : x
  2. Step 2: Convert to fraction form
    300.61/414.87 = 196.00/x
  3. Step 3: Cross multiply
    300.61x = 414.87 × 196.00
  4. Step 4: Simplify right side
    300.61x = 81,312.45
  5. Step 5: Solve for x
    x = 81,312.45/300.61
  6. Step 6: Final answer
    x = 270.50

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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.