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Finding the Fourth Proportional to 208.78, 313.10 and 71.82

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Solution

The fourth proportional to 208.78, 313.10 and 71.82 is: 107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.78 : 313.10 = 71.82 : x
  2. Step 2: Convert to fraction form
    208.78/313.10 = 71.82/x
  3. Step 3: Cross multiply
    208.78x = 313.10 × 71.82
  4. Step 4: Simplify right side
    208.78x = 22,486.75
  5. Step 5: Solve for x
    x = 22,486.75/208.78
  6. Step 6: Final answer
    x = 107.71

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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.