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Finding the Fourth Proportional to 344.16, 516.21 and 206.90

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Solution

The fourth proportional to 344.16, 516.21 and 206.90 is: 310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.16 : 516.21 = 206.90 : x
  2. Step 2: Convert to fraction form
    344.16/516.21 = 206.90/x
  3. Step 3: Cross multiply
    344.16x = 516.21 × 206.90
  4. Step 4: Simplify right side
    344.16x = 106,801.27
  5. Step 5: Solve for x
    x = 106,801.27/344.16
  6. Step 6: Final answer
    x = 310.32

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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.