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Finding the Fourth Proportional to 206.21, 309.72 and 193.25

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Solution

The fourth proportional to 206.21, 309.72 and 193.25 is: 290.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 309.72 = 193.25 : x
  2. Step 2: Convert to fraction form
    206.21/309.72 = 193.25/x
  3. Step 3: Cross multiply
    206.21x = 309.72 × 193.25
  4. Step 4: Simplify right side
    206.21x = 59,853.39
  5. Step 5: Solve for x
    x = 59,853.39/206.21
  6. Step 6: Final answer
    x = 290.25

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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.