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Finding the Fourth Proportional to 207.33, 311.03 and 85.52

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Solution

The fourth proportional to 207.33, 311.03 and 85.52 is: 128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.33 : 311.03 = 85.52 : x
  2. Step 2: Convert to fraction form
    207.33/311.03 = 85.52/x
  3. Step 3: Cross multiply
    207.33x = 311.03 × 85.52
  4. Step 4: Simplify right side
    207.33x = 26,597.30
  5. Step 5: Solve for x
    x = 26,597.30/207.33
  6. Step 6: Final answer
    x = 128.28

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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.