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Finding the Fourth Proportional to 207.57, 311 and 116.21

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Solution

The fourth proportional to 207.57, 311 and 116.21 is: 174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.57 : 311 = 116.21 : x
  2. Step 2: Convert to fraction form
    207.57/311 = 116.21/x
  3. Step 3: Cross multiply
    207.57x = 311 × 116.21
  4. Step 4: Simplify right side
    207.57x = 36,141.31
  5. Step 5: Solve for x
    x = 36,141.31/207.57
  6. Step 6: Final answer
    x = 174.12

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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.