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Finding the Fourth Proportional to 338.30, 466.85 and 183.05

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Solution

The fourth proportional to 338.30, 466.85 and 183.05 is: 252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 466.85 = 183.05 : x
  2. Step 2: Convert to fraction form
    338.30/466.85 = 183.05/x
  3. Step 3: Cross multiply
    338.30x = 466.85 × 183.05
  4. Step 4: Simplify right side
    338.30x = 85,455.95
  5. Step 5: Solve for x
    x = 85,455.95/338.30
  6. Step 6: Final answer
    x = 252.61

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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.