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Finding the Fourth Proportional to 260.21, 388.94 and 198.70

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Solution

The fourth proportional to 260.21, 388.94 and 198.70 is: 297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.21 : 388.94 = 198.70 : x
  2. Step 2: Convert to fraction form
    260.21/388.94 = 198.70/x
  3. Step 3: Cross multiply
    260.21x = 388.94 × 198.70
  4. Step 4: Simplify right side
    260.21x = 77,280.43
  5. Step 5: Solve for x
    x = 77,280.43/260.21
  6. Step 6: Final answer
    x = 297.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.