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Finding the Fourth Proportional to 206.85, 309.93 and 115.72

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Solution

The fourth proportional to 206.85, 309.93 and 115.72 is: 173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.85 : 309.93 = 115.72 : x
  2. Step 2: Convert to fraction form
    206.85/309.93 = 115.72/x
  3. Step 3: Cross multiply
    206.85x = 309.93 × 115.72
  4. Step 4: Simplify right side
    206.85x = 35,865.10
  5. Step 5: Solve for x
    x = 35,865.10/206.85
  6. Step 6: Final answer
    x = 173.39

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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.