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Finding the Fourth Proportional to 204.92, 307.46 and 127.78

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Solution

The fourth proportional to 204.92, 307.46 and 127.78 is: 191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.92 : 307.46 = 127.78 : x
  2. Step 2: Convert to fraction form
    204.92/307.46 = 127.78/x
  3. Step 3: Cross multiply
    204.92x = 307.46 × 127.78
  4. Step 4: Simplify right side
    204.92x = 39,287.24
  5. Step 5: Solve for x
    x = 39,287.24/204.92
  6. Step 6: Final answer
    x = 191.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.