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Finding the Fourth Proportional to 208.96, 313.62 and 112.84

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Solution

The fourth proportional to 208.96, 313.62 and 112.84 is: 169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.96 : 313.62 = 112.84 : x
  2. Step 2: Convert to fraction form
    208.96/313.62 = 112.84/x
  3. Step 3: Cross multiply
    208.96x = 313.62 × 112.84
  4. Step 4: Simplify right side
    208.96x = 35,388.88
  5. Step 5: Solve for x
    x = 35,388.88/208.96
  6. Step 6: Final answer
    x = 169.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.