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Finding the Fourth Proportional to 208, 312.05 and 116.56

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Solution

The fourth proportional to 208, 312.05 and 116.56 is: 174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 312.05 = 116.56 : x
  2. Step 2: Convert to fraction form
    208/312.05 = 116.56/x
  3. Step 3: Cross multiply
    208x = 312.05 × 116.56
  4. Step 4: Simplify right side
    208x = 36,372.55
  5. Step 5: Solve for x
    x = 36,372.55/208
  6. Step 6: Final answer
    x = 174.87

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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.