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Finding the Fourth Proportional to 343.99, 516.19 and 161.28

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Solution

The fourth proportional to 343.99, 516.19 and 161.28 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.99 : 516.19 = 161.28 : x
  2. Step 2: Convert to fraction form
    343.99/516.19 = 161.28/x
  3. Step 3: Cross multiply
    343.99x = 516.19 × 161.28
  4. Step 4: Simplify right side
    343.99x = 83,250.72
  5. Step 5: Solve for x
    x = 83,250.72/343.99
  6. Step 6: Final answer
    x = 242.02

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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.