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Finding the Fourth Proportional to 244.64, 364.42 and 230.96

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Solution

The fourth proportional to 244.64, 364.42 and 230.96 is: 344.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.64 : 364.42 = 230.96 : x
  2. Step 2: Convert to fraction form
    244.64/364.42 = 230.96/x
  3. Step 3: Cross multiply
    244.64x = 364.42 × 230.96
  4. Step 4: Simplify right side
    244.64x = 84,166.44
  5. Step 5: Solve for x
    x = 84,166.44/244.64
  6. Step 6: Final answer
    x = 344.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.