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Finding the Fourth Proportional to 146.31, 201.80 and 137.61

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Solution

The fourth proportional to 146.31, 201.80 and 137.61 is: 189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 201.80 = 137.61 : x
  2. Step 2: Convert to fraction form
    146.31/201.80 = 137.61/x
  3. Step 3: Cross multiply
    146.31x = 201.80 × 137.61
  4. Step 4: Simplify right side
    146.31x = 27,769.70
  5. Step 5: Solve for x
    x = 27,769.70/146.31
  6. Step 6: Final answer
    x = 189.80

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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.