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Finding the Fourth Proportional to 267.64, 369.27 and 169.36

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Solution

The fourth proportional to 267.64, 369.27 and 169.36 is: 233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.64 : 369.27 = 169.36 : x
  2. Step 2: Convert to fraction form
    267.64/369.27 = 169.36/x
  3. Step 3: Cross multiply
    267.64x = 369.27 × 169.36
  4. Step 4: Simplify right side
    267.64x = 62,539.57
  5. Step 5: Solve for x
    x = 62,539.57/267.64
  6. Step 6: Final answer
    x = 233.67

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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.