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Finding the Fourth Proportional to 208.54, 312.82 and 67.80

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Solution

The fourth proportional to 208.54, 312.82 and 67.80 is: 101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 312.82 = 67.80 : x
  2. Step 2: Convert to fraction form
    208.54/312.82 = 67.80/x
  3. Step 3: Cross multiply
    208.54x = 312.82 × 67.80
  4. Step 4: Simplify right side
    208.54x = 21,209.03
  5. Step 5: Solve for x
    x = 21,209.03/208.54
  6. Step 6: Final answer
    x = 101.70

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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.