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Finding the Fourth Proportional to 254.35, 380.72 and 132.45

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Solution

The fourth proportional to 254.35, 380.72 and 132.45 is: 198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.35 : 380.72 = 132.45 : x
  2. Step 2: Convert to fraction form
    254.35/380.72 = 132.45/x
  3. Step 3: Cross multiply
    254.35x = 380.72 × 132.45
  4. Step 4: Simplify right side
    254.35x = 50,423.80
  5. Step 5: Solve for x
    x = 50,423.80/254.35
  6. Step 6: Final answer
    x = 198.25

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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.