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Finding the Fourth Proportional to 208.78, 313.06 and 105.96

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Solution

The fourth proportional to 208.78, 313.06 and 105.96 is: 158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 313.06 = 105.96 : x
  2. Step 2: Convert to fraction form
    208.78/313.06 = 105.96/x
  3. Step 3: Cross multiply
    208.78x = 313.06 × 105.96
  4. Step 4: Simplify right side
    208.78x = 33,171.84
  5. Step 5: Solve for x
    x = 33,171.84/208.78
  6. Step 6: Final answer
    x = 158.88

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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.