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Finding the Fourth Proportional to 338.12, 466.87 and 233.15

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Solution

The fourth proportional to 338.12, 466.87 and 233.15 is: 321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.12 : 466.87 = 233.15 : x
  2. Step 2: Convert to fraction form
    338.12/466.87 = 233.15/x
  3. Step 3: Cross multiply
    338.12x = 466.87 × 233.15
  4. Step 4: Simplify right side
    338.12x = 108,850.74
  5. Step 5: Solve for x
    x = 108,850.74/338.12
  6. Step 6: Final answer
    x = 321.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.