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Finding the Fourth Proportional to 204.09, 281.54 and 130.33

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Solution

The fourth proportional to 204.09, 281.54 and 130.33 is: 179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.09 : 281.54 = 130.33 : x
  2. Step 2: Convert to fraction form
    204.09/281.54 = 130.33/x
  3. Step 3: Cross multiply
    204.09x = 281.54 × 130.33
  4. Step 4: Simplify right side
    204.09x = 36,693.79
  5. Step 5: Solve for x
    x = 36,693.79/204.09
  6. Step 6: Final answer
    x = 179.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.