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Finding the Fourth Proportional to 206.08, 307.15 and 195.04

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Solution

The fourth proportional to 206.08, 307.15 and 195.04 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 307.15 = 195.04 : x
  2. Step 2: Convert to fraction form
    206.08/307.15 = 195.04/x
  3. Step 3: Cross multiply
    206.08x = 307.15 × 195.04
  4. Step 4: Simplify right side
    206.08x = 59,906.54
  5. Step 5: Solve for x
    x = 59,906.54/206.08
  6. Step 6: Final answer
    x = 290.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.