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Finding the Fourth Proportional to 253.77, 380.81 and 132.03

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Solution

The fourth proportional to 253.77, 380.81 and 132.03 is: 198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.77 : 380.81 = 132.03 : x
  2. Step 2: Convert to fraction form
    253.77/380.81 = 132.03/x
  3. Step 3: Cross multiply
    253.77x = 380.81 × 132.03
  4. Step 4: Simplify right side
    253.77x = 50,277.68
  5. Step 5: Solve for x
    x = 50,277.68/253.77
  6. Step 6: Final answer
    x = 198.12

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