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Finding the Fourth Proportional to 521.40, 782.22 and 196.80

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Solution

The fourth proportional to 521.40, 782.22 and 196.80 is: 295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.40 : 782.22 = 196.80 : x
  2. Step 2: Convert to fraction form
    521.40/782.22 = 196.80/x
  3. Step 3: Cross multiply
    521.40x = 782.22 × 196.80
  4. Step 4: Simplify right side
    521.40x = 153,940.90
  5. Step 5: Solve for x
    x = 153,940.90/521.40
  6. Step 6: Final answer
    x = 295.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.