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Finding the Fourth Proportional to 267.63, 369.06 and 208.53

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Solution

The fourth proportional to 267.63, 369.06 and 208.53 is: 287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.63 : 369.06 = 208.53 : x
  2. Step 2: Convert to fraction form
    267.63/369.06 = 208.53/x
  3. Step 3: Cross multiply
    267.63x = 369.06 × 208.53
  4. Step 4: Simplify right side
    267.63x = 76,960.08
  5. Step 5: Solve for x
    x = 76,960.08/267.63
  6. Step 6: Final answer
    x = 287.56

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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.