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Finding the Fourth Proportional to 254.76, 381.99 and 186.27

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Solution

The fourth proportional to 254.76, 381.99 and 186.27 is: 279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.76 : 381.99 = 186.27 : x
  2. Step 2: Convert to fraction form
    254.76/381.99 = 186.27/x
  3. Step 3: Cross multiply
    254.76x = 381.99 × 186.27
  4. Step 4: Simplify right side
    254.76x = 71,153.28
  5. Step 5: Solve for x
    x = 71,153.28/254.76
  6. Step 6: Final answer
    x = 279.30

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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.