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Finding the Fourth Proportional to 204.88, 305.14 and 199.20

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Solution

The fourth proportional to 204.88, 305.14 and 199.20 is: 296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.88 : 305.14 = 199.20 : x
  2. Step 2: Convert to fraction form
    204.88/305.14 = 199.20/x
  3. Step 3: Cross multiply
    204.88x = 305.14 × 199.20
  4. Step 4: Simplify right side
    204.88x = 60,783.89
  5. Step 5: Solve for x
    x = 60,783.89/204.88
  6. Step 6: Final answer
    x = 296.68

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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.