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Finding the Fourth Proportional to 274.24, 377.92 and 208.64

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Solution

The fourth proportional to 274.24, 377.92 and 208.64 is: 287.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 377.92 = 208.64 : x
  2. Step 2: Convert to fraction form
    274.24/377.92 = 208.64/x
  3. Step 3: Cross multiply
    274.24x = 377.92 × 208.64
  4. Step 4: Simplify right side
    274.24x = 78,849.23
  5. Step 5: Solve for x
    x = 78,849.23/274.24
  6. Step 6: Final answer
    x = 287.52

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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.