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Finding the Fourth Proportional to 206.45, 285.09 and 132.89

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Solution

The fourth proportional to 206.45, 285.09 and 132.89 is: 183.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.45 : 285.09 = 132.89 : x
  2. Step 2: Convert to fraction form
    206.45/285.09 = 132.89/x
  3. Step 3: Cross multiply
    206.45x = 285.09 × 132.89
  4. Step 4: Simplify right side
    206.45x = 37,886.16
  5. Step 5: Solve for x
    x = 37,886.16/206.45
  6. Step 6: Final answer
    x = 183.52

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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.