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Finding the Fourth Proportional to 206.85, 310.28 and 85.03

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Solution

The fourth proportional to 206.85, 310.28 and 85.03 is: 127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 310.28 = 85.03 : x
  2. Step 2: Convert to fraction form
    206.85/310.28 = 85.03/x
  3. Step 3: Cross multiply
    206.85x = 310.28 × 85.03
  4. Step 4: Simplify right side
    206.85x = 26,383.11
  5. Step 5: Solve for x
    x = 26,383.11/206.85
  6. Step 6: Final answer
    x = 127.55

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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.