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Finding the Fourth Proportional to 207.28, 310.65 and 85.38

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Solution

The fourth proportional to 207.28, 310.65 and 85.38 is: 127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.28 : 310.65 = 85.38 : x
  2. Step 2: Convert to fraction form
    207.28/310.65 = 85.38/x
  3. Step 3: Cross multiply
    207.28x = 310.65 × 85.38
  4. Step 4: Simplify right side
    207.28x = 26,523.30
  5. Step 5: Solve for x
    x = 26,523.30/207.28
  6. Step 6: Final answer
    x = 127.96

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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.