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Finding the Fourth Proportional to 254.11, 380.35 and 180.81

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Solution

The fourth proportional to 254.11, 380.35 and 180.81 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.11 : 380.35 = 180.81 : x
  2. Step 2: Convert to fraction form
    254.11/380.35 = 180.81/x
  3. Step 3: Cross multiply
    254.11x = 380.35 × 180.81
  4. Step 4: Simplify right side
    254.11x = 68,771.08
  5. Step 5: Solve for x
    x = 68,771.08/254.11
  6. Step 6: Final answer
    x = 270.64

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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.