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Finding the Fourth Proportional to 206.88, 285.74 and 180.60

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Solution

The fourth proportional to 206.88, 285.74 and 180.60 is: 249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.88 : 285.74 = 180.60 : x
  2. Step 2: Convert to fraction form
    206.88/285.74 = 180.60/x
  3. Step 3: Cross multiply
    206.88x = 285.74 × 180.60
  4. Step 4: Simplify right side
    206.88x = 51,604.64
  5. Step 5: Solve for x
    x = 51,604.64/206.88
  6. Step 6: Final answer
    x = 249.44

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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.