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Finding the Fourth Proportional to 254.75, 381.29 and 180.48

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Solution

The fourth proportional to 254.75, 381.29 and 180.48 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 381.29 = 180.48 : x
  2. Step 2: Convert to fraction form
    254.75/381.29 = 180.48/x
  3. Step 3: Cross multiply
    254.75x = 381.29 × 180.48
  4. Step 4: Simplify right side
    254.75x = 68,816.76
  5. Step 5: Solve for x
    x = 68,816.76/254.75
  6. Step 6: Final answer
    x = 270.13

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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.