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Finding the Fourth Proportional to 208.82, 313.22 and 71.78

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Solution

The fourth proportional to 208.82, 313.22 and 71.78 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 313.22 = 71.78 : x
  2. Step 2: Convert to fraction form
    208.82/313.22 = 71.78/x
  3. Step 3: Cross multiply
    208.82x = 313.22 × 71.78
  4. Step 4: Simplify right side
    208.82x = 22,482.57
  5. Step 5: Solve for x
    x = 22,482.57/208.82
  6. Step 6: Final answer
    x = 107.67

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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.