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Finding the Fourth Proportional to 208.44, 286.92 and 169.56

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Solution

The fourth proportional to 208.44, 286.92 and 169.56 is: 233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.44 : 286.92 = 169.56 : x
  2. Step 2: Convert to fraction form
    208.44/286.92 = 169.56/x
  3. Step 3: Cross multiply
    208.44x = 286.92 × 169.56
  4. Step 4: Simplify right side
    208.44x = 48,650.16
  5. Step 5: Solve for x
    x = 48,650.16/208.44
  6. Step 6: Final answer
    x = 233.40

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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.