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Finding the Fourth Proportional to 146.82, 202.50 and 113.97

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Solution

The fourth proportional to 146.82, 202.50 and 113.97 is: 157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 202.50 = 113.97 : x
  2. Step 2: Convert to fraction form
    146.82/202.50 = 113.97/x
  3. Step 3: Cross multiply
    146.82x = 202.50 × 113.97
  4. Step 4: Simplify right side
    146.82x = 23,078.93
  5. Step 5: Solve for x
    x = 23,078.93/146.82
  6. Step 6: Final answer
    x = 157.19

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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.