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Finding the Fourth Proportional to 206.73, 285.23 and 132.93

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Solution

The fourth proportional to 206.73, 285.23 and 132.93 is: 183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.73 : 285.23 = 132.93 : x
  2. Step 2: Convert to fraction form
    206.73/285.23 = 132.93/x
  3. Step 3: Cross multiply
    206.73x = 285.23 × 132.93
  4. Step 4: Simplify right side
    206.73x = 37,915.96
  5. Step 5: Solve for x
    x = 37,915.96/206.73
  6. Step 6: Final answer
    x = 183.41

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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.