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Finding the Fourth Proportional to 275.98, 381.22 and 193.36

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Solution

The fourth proportional to 275.98, 381.22 and 193.36 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.98 : 381.22 = 193.36 : x
  2. Step 2: Convert to fraction form
    275.98/381.22 = 193.36/x
  3. Step 3: Cross multiply
    275.98x = 381.22 × 193.36
  4. Step 4: Simplify right side
    275.98x = 73,711.26
  5. Step 5: Solve for x
    x = 73,711.26/275.98
  6. Step 6: Final answer
    x = 267.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.