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Finding the Fourth Proportional to 204.57, 281.15 and 184.07

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Solution

The fourth proportional to 204.57, 281.15 and 184.07 is: 252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.57 : 281.15 = 184.07 : x
  2. Step 2: Convert to fraction form
    204.57/281.15 = 184.07/x
  3. Step 3: Cross multiply
    204.57x = 281.15 × 184.07
  4. Step 4: Simplify right side
    204.57x = 51,748.95
  5. Step 5: Solve for x
    x = 51,748.95/204.57
  6. Step 6: Final answer
    x = 252.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.