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Finding the Fourth Proportional to 208.86, 313.21 and 71.87

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Solution

The fourth proportional to 208.86, 313.21 and 71.87 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 313.21 = 71.87 : x
  2. Step 2: Convert to fraction form
    208.86/313.21 = 71.87/x
  3. Step 3: Cross multiply
    208.86x = 313.21 × 71.87
  4. Step 4: Simplify right side
    208.86x = 22,510.40
  5. Step 5: Solve for x
    x = 22,510.40/208.86
  6. Step 6: Final answer
    x = 107.78

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