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Finding the Fourth Proportional to 208.81, 312.92 and 116.30

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Solution

The fourth proportional to 208.81, 312.92 and 116.30 is: 174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.81 : 312.92 = 116.30 : x
  2. Step 2: Convert to fraction form
    208.81/312.92 = 116.30/x
  3. Step 3: Cross multiply
    208.81x = 312.92 × 116.30
  4. Step 4: Simplify right side
    208.81x = 36,392.80
  5. Step 5: Solve for x
    x = 36,392.80/208.81
  6. Step 6: Final answer
    x = 174.29

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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.