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Finding the Fourth Proportional to 243.97, 336.77 and 204.55

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Solution

The fourth proportional to 243.97, 336.77 and 204.55 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.97 : 336.77 = 204.55 : x
  2. Step 2: Convert to fraction form
    243.97/336.77 = 204.55/x
  3. Step 3: Cross multiply
    243.97x = 336.77 × 204.55
  4. Step 4: Simplify right side
    243.97x = 68,885.28
  5. Step 5: Solve for x
    x = 68,885.28/243.97
  6. Step 6: Final answer
    x = 282.35

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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.