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Finding the Fourth Proportional to 208.10, 312.17 and 63.78

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Solution

The fourth proportional to 208.10, 312.17 and 63.78 is: 95.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.10 : 312.17 = 63.78 : x
  2. Step 2: Convert to fraction form
    208.10/312.17 = 63.78/x
  3. Step 3: Cross multiply
    208.10x = 312.17 × 63.78
  4. Step 4: Simplify right side
    208.10x = 19,909.88
  5. Step 5: Solve for x
    x = 19,909.88/208.10
  6. Step 6: Final answer
    x = 95.68

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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.