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Finding the Fourth Proportional to 318.15, 476.82 and 226.89

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Solution

The fourth proportional to 318.15, 476.82 and 226.89 is: 340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.15 : 476.82 = 226.89 : x
  2. Step 2: Convert to fraction form
    318.15/476.82 = 226.89/x
  3. Step 3: Cross multiply
    318.15x = 476.82 × 226.89
  4. Step 4: Simplify right side
    318.15x = 108,185.69
  5. Step 5: Solve for x
    x = 108,185.69/318.15
  6. Step 6: Final answer
    x = 340.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.