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Finding the Fourth Proportional to 207.30, 310.44 and 115.74

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Solution

The fourth proportional to 207.30, 310.44 and 115.74 is: 173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.30 : 310.44 = 115.74 : x
  2. Step 2: Convert to fraction form
    207.30/310.44 = 115.74/x
  3. Step 3: Cross multiply
    207.30x = 310.44 × 115.74
  4. Step 4: Simplify right side
    207.30x = 35,930.33
  5. Step 5: Solve for x
    x = 35,930.33/207.30
  6. Step 6: Final answer
    x = 173.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.