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Finding the Fourth Proportional to 255.15, 380.62 and 229.18

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Solution

The fourth proportional to 255.15, 380.62 and 229.18 is: 341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.15 : 380.62 = 229.18 : x
  2. Step 2: Convert to fraction form
    255.15/380.62 = 229.18/x
  3. Step 3: Cross multiply
    255.15x = 380.62 × 229.18
  4. Step 4: Simplify right side
    255.15x = 87,229.73
  5. Step 5: Solve for x
    x = 87,229.73/255.15
  6. Step 6: Final answer
    x = 341.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.