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Finding the Fourth Proportional to 204.59, 281.79 and 176.96

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Solution

The fourth proportional to 204.59, 281.79 and 176.96 is: 243.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.59 : 281.79 = 176.96 : x
  2. Step 2: Convert to fraction form
    204.59/281.79 = 176.96/x
  3. Step 3: Cross multiply
    204.59x = 281.79 × 176.96
  4. Step 4: Simplify right side
    204.59x = 49,866.26
  5. Step 5: Solve for x
    x = 49,866.26/204.59
  6. Step 6: Final answer
    x = 243.73

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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.