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Finding the Fourth Proportional to 254.87, 382.47 and 133.22

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Solution

The fourth proportional to 254.87, 382.47 and 133.22 is: 199.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.87 : 382.47 = 133.22 : x
  2. Step 2: Convert to fraction form
    254.87/382.47 = 133.22/x
  3. Step 3: Cross multiply
    254.87x = 382.47 × 133.22
  4. Step 4: Simplify right side
    254.87x = 50,952.78
  5. Step 5: Solve for x
    x = 50,952.78/254.87
  6. Step 6: Final answer
    x = 199.92

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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.