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Finding the Fourth Proportional to 254.10, 381.33 and 229.62

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Solution

The fourth proportional to 254.10, 381.33 and 229.62 is: 344.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 381.33 = 229.62 : x
  2. Step 2: Convert to fraction form
    254.10/381.33 = 229.62/x
  3. Step 3: Cross multiply
    254.10x = 381.33 × 229.62
  4. Step 4: Simplify right side
    254.10x = 87,560.99
  5. Step 5: Solve for x
    x = 87,560.99/254.10
  6. Step 6: Final answer
    x = 344.59

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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.