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Finding the Fourth Proportional to 204.56, 305.14 and 192.14

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Solution

The fourth proportional to 204.56, 305.14 and 192.14 is: 286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 305.14 = 192.14 : x
  2. Step 2: Convert to fraction form
    204.56/305.14 = 192.14/x
  3. Step 3: Cross multiply
    204.56x = 305.14 × 192.14
  4. Step 4: Simplify right side
    204.56x = 58,629.60
  5. Step 5: Solve for x
    x = 58,629.60/204.56
  6. Step 6: Final answer
    x = 286.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.