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Finding the Fourth Proportional to 206.57, 285.25 and 141.23

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Solution

The fourth proportional to 206.57, 285.25 and 141.23 is: 195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.57 : 285.25 = 141.23 : x
  2. Step 2: Convert to fraction form
    206.57/285.25 = 141.23/x
  3. Step 3: Cross multiply
    206.57x = 285.25 × 141.23
  4. Step 4: Simplify right side
    206.57x = 40,285.86
  5. Step 5: Solve for x
    x = 40,285.86/206.57
  6. Step 6: Final answer
    x = 195.02

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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.