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Finding the Fourth Proportional to 344.47, 516.89 and 161.82

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Solution

The fourth proportional to 344.47, 516.89 and 161.82 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.47 : 516.89 = 161.82 : x
  2. Step 2: Convert to fraction form
    344.47/516.89 = 161.82/x
  3. Step 3: Cross multiply
    344.47x = 516.89 × 161.82
  4. Step 4: Simplify right side
    344.47x = 83,643.14
  5. Step 5: Solve for x
    x = 83,643.14/344.47
  6. Step 6: Final answer
    x = 242.82

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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.