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Finding the Fourth Proportional to 206.72, 284.43 and 180.39

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Solution

The fourth proportional to 206.72, 284.43 and 180.39 is: 248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 284.43 = 180.39 : x
  2. Step 2: Convert to fraction form
    206.72/284.43 = 180.39/x
  3. Step 3: Cross multiply
    206.72x = 284.43 × 180.39
  4. Step 4: Simplify right side
    206.72x = 51,308.33
  5. Step 5: Solve for x
    x = 51,308.33/206.72
  6. Step 6: Final answer
    x = 248.21

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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.