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Finding the Fourth Proportional to 204.10, 281.67 and 146.14

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Solution

The fourth proportional to 204.10, 281.67 and 146.14 is: 201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.10 : 281.67 = 146.14 : x
  2. Step 2: Convert to fraction form
    204.10/281.67 = 146.14/x
  3. Step 3: Cross multiply
    204.10x = 281.67 × 146.14
  4. Step 4: Simplify right side
    204.10x = 41,163.25
  5. Step 5: Solve for x
    x = 41,163.25/204.10
  6. Step 6: Final answer
    x = 201.68

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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.