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Finding the Fourth Proportional to 338.34, 466.91 and 183.09

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Solution

The fourth proportional to 338.34, 466.91 and 183.09 is: 252.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.34 : 466.91 = 183.09 : x
  2. Step 2: Convert to fraction form
    338.34/466.91 = 183.09/x
  3. Step 3: Cross multiply
    338.34x = 466.91 × 183.09
  4. Step 4: Simplify right side
    338.34x = 85,489.10
  5. Step 5: Solve for x
    x = 85,489.10/338.34
  6. Step 6: Final answer
    x = 252.67

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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.