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Finding the Fourth Proportional to 267.40, 369.02 and 197.42

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Solution

The fourth proportional to 267.40, 369.02 and 197.42 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.40 : 369.02 = 197.42 : x
  2. Step 2: Convert to fraction form
    267.40/369.02 = 197.42/x
  3. Step 3: Cross multiply
    267.40x = 369.02 × 197.42
  4. Step 4: Simplify right side
    267.40x = 72,851.93
  5. Step 5: Solve for x
    x = 72,851.93/267.40
  6. Step 6: Final answer
    x = 272.45

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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.