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Finding the Fourth Proportional to 193.80, 267.20 and 127.30

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Solution

The fourth proportional to 193.80, 267.20 and 127.30 is: 175.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 267.20 = 127.30 : x
  2. Step 2: Convert to fraction form
    193.80/267.20 = 127.30/x
  3. Step 3: Cross multiply
    193.80x = 267.20 × 127.30
  4. Step 4: Simplify right side
    193.80x = 34,014.56
  5. Step 5: Solve for x
    x = 34,014.56/193.80
  6. Step 6: Final answer
    x = 175.51

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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.