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Finding the Fourth Proportional to 206.90, 310.37 and 68.06

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Solution

The fourth proportional to 206.90, 310.37 and 68.06 is: 102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 310.37 = 68.06 : x
  2. Step 2: Convert to fraction form
    206.90/310.37 = 68.06/x
  3. Step 3: Cross multiply
    206.90x = 310.37 × 68.06
  4. Step 4: Simplify right side
    206.90x = 21,121.89
  5. Step 5: Solve for x
    x = 21,121.89/206.90
  6. Step 6: Final answer
    x = 102.09

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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.