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Finding the Fourth Proportional to 207.08, 310.30 and 85.24

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Solution

The fourth proportional to 207.08, 310.30 and 85.24 is: 127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.08 : 310.30 = 85.24 : x
  2. Step 2: Convert to fraction form
    207.08/310.30 = 85.24/x
  3. Step 3: Cross multiply
    207.08x = 310.30 × 85.24
  4. Step 4: Simplify right side
    207.08x = 26,449.97
  5. Step 5: Solve for x
    x = 26,449.97/207.08
  6. Step 6: Final answer
    x = 127.73

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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.