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Finding the Fourth Proportional to 208.89, 313.38 and 78.98

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Solution

The fourth proportional to 208.89, 313.38 and 78.98 is: 118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.89 : 313.38 = 78.98 : x
  2. Step 2: Convert to fraction form
    208.89/313.38 = 78.98/x
  3. Step 3: Cross multiply
    208.89x = 313.38 × 78.98
  4. Step 4: Simplify right side
    208.89x = 24,750.75
  5. Step 5: Solve for x
    x = 24,750.75/208.89
  6. Step 6: Final answer
    x = 118.49

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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.