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Finding the Fourth Proportional to 338.16, 466.02 and 249.60

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Solution

The fourth proportional to 338.16, 466.02 and 249.60 is: 343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.16 : 466.02 = 249.60 : x
  2. Step 2: Convert to fraction form
    338.16/466.02 = 249.60/x
  3. Step 3: Cross multiply
    338.16x = 466.02 × 249.60
  4. Step 4: Simplify right side
    338.16x = 116,318.59
  5. Step 5: Solve for x
    x = 116,318.59/338.16
  6. Step 6: Final answer
    x = 343.98

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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.