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Finding the Fourth Proportional to 267.85, 369.62 and 151.41

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Solution

The fourth proportional to 267.85, 369.62 and 151.41 is: 208.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.85 : 369.62 = 151.41 : x
  2. Step 2: Convert to fraction form
    267.85/369.62 = 151.41/x
  3. Step 3: Cross multiply
    267.85x = 369.62 × 151.41
  4. Step 4: Simplify right side
    267.85x = 55,964.16
  5. Step 5: Solve for x
    x = 55,964.16/267.85
  6. Step 6: Final answer
    x = 208.94

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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.