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Finding the Fourth Proportional to 204.08, 281.73 and 130.44

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Solution

The fourth proportional to 204.08, 281.73 and 130.44 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 281.73 = 130.44 : x
  2. Step 2: Convert to fraction form
    204.08/281.73 = 130.44/x
  3. Step 3: Cross multiply
    204.08x = 281.73 × 130.44
  4. Step 4: Simplify right side
    204.08x = 36,748.86
  5. Step 5: Solve for x
    x = 36,748.86/204.08
  6. Step 6: Final answer
    x = 180.08

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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.