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Finding the Fourth Proportional to 148.97, 204.42 and 146.75

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Solution

The fourth proportional to 148.97, 204.42 and 146.75 is: 201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 204.42 = 146.75 : x
  2. Step 2: Convert to fraction form
    148.97/204.42 = 146.75/x
  3. Step 3: Cross multiply
    148.97x = 204.42 × 146.75
  4. Step 4: Simplify right side
    148.97x = 29,997.61
  5. Step 5: Solve for x
    x = 29,997.61/148.97
  6. Step 6: Final answer
    x = 201.37

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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.