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Finding the Fourth Proportional to 146.28, 202.04 and 113.94

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Solution

The fourth proportional to 146.28, 202.04 and 113.94 is: 157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.28 : 202.04 = 113.94 : x
  2. Step 2: Convert to fraction form
    146.28/202.04 = 113.94/x
  3. Step 3: Cross multiply
    146.28x = 202.04 × 113.94
  4. Step 4: Simplify right side
    146.28x = 23,020.44
  5. Step 5: Solve for x
    x = 23,020.44/146.28
  6. Step 6: Final answer
    x = 157.37

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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.