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Finding the Fourth Proportional to 207.31, 310.97 and 121.75

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Solution

The fourth proportional to 207.31, 310.97 and 121.75 is: 182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 310.97 = 121.75 : x
  2. Step 2: Convert to fraction form
    207.31/310.97 = 121.75/x
  3. Step 3: Cross multiply
    207.31x = 310.97 × 121.75
  4. Step 4: Simplify right side
    207.31x = 37,860.60
  5. Step 5: Solve for x
    x = 37,860.60/207.31
  6. Step 6: Final answer
    x = 182.63

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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.