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Finding the Fourth Proportional to 206.27, 284.00 and 180.39

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Solution

The fourth proportional to 206.27, 284.00 and 180.39 is: 248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.27 : 284.00 = 180.39 : x
  2. Step 2: Convert to fraction form
    206.27/284.00 = 180.39/x
  3. Step 3: Cross multiply
    206.27x = 284.00 × 180.39
  4. Step 4: Simplify right side
    206.27x = 51,229.86
  5. Step 5: Solve for x
    x = 51,229.86/206.27
  6. Step 6: Final answer
    x = 248.37

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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.