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Finding the Fourth Proportional to 146.37, 201.78 and 128.97

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Solution

The fourth proportional to 146.37, 201.78 and 128.97 is: 177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.37 : 201.78 = 128.97 : x
  2. Step 2: Convert to fraction form
    146.37/201.78 = 128.97/x
  3. Step 3: Cross multiply
    146.37x = 201.78 × 128.97
  4. Step 4: Simplify right side
    146.37x = 26,023.57
  5. Step 5: Solve for x
    x = 26,023.57/146.37
  6. Step 6: Final answer
    x = 177.79

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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.