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Finding the Fourth Proportional to 344.05, 516.08 and 189.94

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Solution

The fourth proportional to 344.05, 516.08 and 189.94 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.05 : 516.08 = 189.94 : x
  2. Step 2: Convert to fraction form
    344.05/516.08 = 189.94/x
  3. Step 3: Cross multiply
    344.05x = 516.08 × 189.94
  4. Step 4: Simplify right side
    344.05x = 98,024.24
  5. Step 5: Solve for x
    x = 98,024.24/344.05
  6. Step 6: Final answer
    x = 284.91

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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.