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Finding the Fourth Proportional to 338.16, 466.14 and 227.61

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Solution

The fourth proportional to 338.16, 466.14 and 227.61 is: 313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 466.14 = 227.61 : x
  2. Step 2: Convert to fraction form
    338.16/466.14 = 227.61/x
  3. Step 3: Cross multiply
    338.16x = 466.14 × 227.61
  4. Step 4: Simplify right side
    338.16x = 106,098.13
  5. Step 5: Solve for x
    x = 106,098.13/338.16
  6. Step 6: Final answer
    x = 313.75

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