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Finding the Fourth Proportional to 204.48, 281.88 and 165.06

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Solution

The fourth proportional to 204.48, 281.88 and 165.06 is: 227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.48 : 281.88 = 165.06 : x
  2. Step 2: Convert to fraction form
    204.48/281.88 = 165.06/x
  3. Step 3: Cross multiply
    204.48x = 281.88 × 165.06
  4. Step 4: Simplify right side
    204.48x = 46,527.11
  5. Step 5: Solve for x
    x = 46,527.11/204.48
  6. Step 6: Final answer
    x = 227.54

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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.