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Finding the Fourth Proportional to 208, 286.96 and 120.64

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Solution

The fourth proportional to 208, 286.96 and 120.64 is: 166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 286.96 = 120.64 : x
  2. Step 2: Convert to fraction form
    208/286.96 = 120.64/x
  3. Step 3: Cross multiply
    208x = 286.96 × 120.64
  4. Step 4: Simplify right side
    208x = 34,618.85
  5. Step 5: Solve for x
    x = 34,618.85/208
  6. Step 6: Final answer
    x = 166.44

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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.