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Finding the Fourth Proportional to 254.65, 381.84 and 132.79

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Solution

The fourth proportional to 254.65, 381.84 and 132.79 is: 199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.65 : 381.84 = 132.79 : x
  2. Step 2: Convert to fraction form
    254.65/381.84 = 132.79/x
  3. Step 3: Cross multiply
    254.65x = 381.84 × 132.79
  4. Step 4: Simplify right side
    254.65x = 50,704.53
  5. Step 5: Solve for x
    x = 50,704.53/254.65
  6. Step 6: Final answer
    x = 199.11

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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.