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Finding the Fourth Proportional to 338.07, 466.77 and 227.70

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Solution

The fourth proportional to 338.07, 466.77 and 227.70 is: 314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.07 : 466.77 = 227.70 : x
  2. Step 2: Convert to fraction form
    338.07/466.77 = 227.70/x
  3. Step 3: Cross multiply
    338.07x = 466.77 × 227.70
  4. Step 4: Simplify right side
    338.07x = 106,283.53
  5. Step 5: Solve for x
    x = 106,283.53/338.07
  6. Step 6: Final answer
    x = 314.38

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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.