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Finding the Fourth Proportional to 208.19, 311.90 and 116.61

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Solution

The fourth proportional to 208.19, 311.90 and 116.61 is: 174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.19 : 311.90 = 116.61 : x
  2. Step 2: Convert to fraction form
    208.19/311.90 = 116.61/x
  3. Step 3: Cross multiply
    208.19x = 311.90 × 116.61
  4. Step 4: Simplify right side
    208.19x = 36,370.66
  5. Step 5: Solve for x
    x = 36,370.66/208.19
  6. Step 6: Final answer
    x = 174.70

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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.