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Finding the Fourth Proportional to 230.40, 344.70 and 161.64

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Solution

The fourth proportional to 230.40, 344.70 and 161.64 is: 241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.40 : 344.70 = 161.64 : x
  2. Step 2: Convert to fraction form
    230.40/344.70 = 161.64/x
  3. Step 3: Cross multiply
    230.40x = 344.70 × 161.64
  4. Step 4: Simplify right side
    230.40x = 55,717.31
  5. Step 5: Solve for x
    x = 55,717.31/230.40
  6. Step 6: Final answer
    x = 241.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.