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Finding the Fourth Proportional to 207.64, 310.96 and 116.11

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Solution

The fourth proportional to 207.64, 310.96 and 116.11 is: 173.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.64 : 310.96 = 116.11 : x
  2. Step 2: Convert to fraction form
    207.64/310.96 = 116.11/x
  3. Step 3: Cross multiply
    207.64x = 310.96 × 116.11
  4. Step 4: Simplify right side
    207.64x = 36,105.57
  5. Step 5: Solve for x
    x = 36,105.57/207.64
  6. Step 6: Final answer
    x = 173.89

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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.