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Finding the Fourth Proportional to 208.20, 311.64 and 116.62

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Solution

The fourth proportional to 208.20, 311.64 and 116.62 is: 174.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 311.64 = 116.62 : x
  2. Step 2: Convert to fraction form
    208.20/311.64 = 116.62/x
  3. Step 3: Cross multiply
    208.20x = 311.64 × 116.62
  4. Step 4: Simplify right side
    208.20x = 36,341.32
  5. Step 5: Solve for x
    x = 36,341.32/208.20
  6. Step 6: Final answer
    x = 174.55

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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.