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Finding the Fourth Proportional to 343.95, 516.30 and 161.49

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Solution

The fourth proportional to 343.95, 516.30 and 161.49 is: 242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.95 : 516.30 = 161.49 : x
  2. Step 2: Convert to fraction form
    343.95/516.30 = 161.49/x
  3. Step 3: Cross multiply
    343.95x = 516.30 × 161.49
  4. Step 4: Simplify right side
    343.95x = 83,377.29
  5. Step 5: Solve for x
    x = 83,377.29/343.95
  6. Step 6: Final answer
    x = 242.41

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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.