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Finding the Fourth Proportional to 206.67, 285.23 and 133.01

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Solution

The fourth proportional to 206.67, 285.23 and 133.01 is: 183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.67 : 285.23 = 133.01 : x
  2. Step 2: Convert to fraction form
    206.67/285.23 = 133.01/x
  3. Step 3: Cross multiply
    206.67x = 285.23 × 133.01
  4. Step 4: Simplify right side
    206.67x = 37,936.35
  5. Step 5: Solve for x
    x = 37,936.35/206.67
  6. Step 6: Final answer
    x = 183.56

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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.