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Finding the Fourth Proportional to 146.52, 200.75 and 144.72

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Solution

The fourth proportional to 146.52, 200.75 and 144.72 is: 198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.52 : 200.75 = 144.72 : x
  2. Step 2: Convert to fraction form
    146.52/200.75 = 144.72/x
  3. Step 3: Cross multiply
    146.52x = 200.75 × 144.72
  4. Step 4: Simplify right side
    146.52x = 29,052.54
  5. Step 5: Solve for x
    x = 29,052.54/146.52
  6. Step 6: Final answer
    x = 198.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.