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Finding the Fourth Proportional to 206.80, 285.20 and 160.10

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Solution

The fourth proportional to 206.80, 285.20 and 160.10 is: 220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.80 : 285.20 = 160.10 : x
  2. Step 2: Convert to fraction form
    206.80/285.20 = 160.10/x
  3. Step 3: Cross multiply
    206.80x = 285.20 × 160.10
  4. Step 4: Simplify right side
    206.80x = 45,660.52
  5. Step 5: Solve for x
    x = 45,660.52/206.80
  6. Step 6: Final answer
    x = 220.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.