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Finding the Fourth Proportional to 206.75, 309.82 and 138.26

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Solution

The fourth proportional to 206.75, 309.82 and 138.26 is: 207.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 309.82 = 138.26 : x
  2. Step 2: Convert to fraction form
    206.75/309.82 = 138.26/x
  3. Step 3: Cross multiply
    206.75x = 309.82 × 138.26
  4. Step 4: Simplify right side
    206.75x = 42,835.71
  5. Step 5: Solve for x
    x = 42,835.71/206.75
  6. Step 6: Final answer
    x = 207.19

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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.