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Finding the Fourth Proportional to 253.97, 381.08 and 132.33

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Solution

The fourth proportional to 253.97, 381.08 and 132.33 is: 198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 381.08 = 132.33 : x
  2. Step 2: Convert to fraction form
    253.97/381.08 = 132.33/x
  3. Step 3: Cross multiply
    253.97x = 381.08 × 132.33
  4. Step 4: Simplify right side
    253.97x = 50,428.32
  5. Step 5: Solve for x
    x = 50,428.32/253.97
  6. Step 6: Final answer
    x = 198.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.