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Finding the Fourth Proportional to 206.82, 285.30 and 133.05

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Solution

The fourth proportional to 206.82, 285.30 and 133.05 is: 183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 285.30 = 133.05 : x
  2. Step 2: Convert to fraction form
    206.82/285.30 = 133.05/x
  3. Step 3: Cross multiply
    206.82x = 285.30 × 133.05
  4. Step 4: Simplify right side
    206.82x = 37,959.17
  5. Step 5: Solve for x
    x = 37,959.17/206.82
  6. Step 6: Final answer
    x = 183.54

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Why These Related Problems?

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