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Finding the Fourth Proportional to 267.66, 369.14 and 208.67

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Solution

The fourth proportional to 267.66, 369.14 and 208.67 is: 287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.66 : 369.14 = 208.67 : x
  2. Step 2: Convert to fraction form
    267.66/369.14 = 208.67/x
  3. Step 3: Cross multiply
    267.66x = 369.14 × 208.67
  4. Step 4: Simplify right side
    267.66x = 77,025.55
  5. Step 5: Solve for x
    x = 77,025.55/267.66
  6. Step 6: Final answer
    x = 287.77

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Why These Related Problems?

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