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Finding the Fourth Proportional to 344.54, 516.81 and 161.89

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Solution

The fourth proportional to 344.54, 516.81 and 161.89 is: 242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.54 : 516.81 = 161.89 : x
  2. Step 2: Convert to fraction form
    344.54/516.81 = 161.89/x
  3. Step 3: Cross multiply
    344.54x = 516.81 × 161.89
  4. Step 4: Simplify right side
    344.54x = 83,666.37
  5. Step 5: Solve for x
    x = 83,666.37/344.54
  6. Step 6: Final answer
    x = 242.84

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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.