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Finding the Fourth Proportional to 254.24, 380.96 and 185.45

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Solution

The fourth proportional to 254.24, 380.96 and 185.45 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.24 : 380.96 = 185.45 : x
  2. Step 2: Convert to fraction form
    254.24/380.96 = 185.45/x
  3. Step 3: Cross multiply
    254.24x = 380.96 × 185.45
  4. Step 4: Simplify right side
    254.24x = 70,646.90
  5. Step 5: Solve for x
    x = 70,646.90/254.24
  6. Step 6: Final answer
    x = 277.88

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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.