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Finding the Fourth Proportional to 208.77, 313.24 and 78.83

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Solution

The fourth proportional to 208.77, 313.24 and 78.83 is: 118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.77 : 313.24 = 78.83 : x
  2. Step 2: Convert to fraction form
    208.77/313.24 = 78.83/x
  3. Step 3: Cross multiply
    208.77x = 313.24 × 78.83
  4. Step 4: Simplify right side
    208.77x = 24,692.71
  5. Step 5: Solve for x
    x = 24,692.71/208.77
  6. Step 6: Final answer
    x = 118.28

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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.