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Finding the Fourth Proportional to 344.39, 516.64 and 149.34

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Solution

The fourth proportional to 344.39, 516.64 and 149.34 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.39 : 516.64 = 149.34 : x
  2. Step 2: Convert to fraction form
    344.39/516.64 = 149.34/x
  3. Step 3: Cross multiply
    344.39x = 516.64 × 149.34
  4. Step 4: Simplify right side
    344.39x = 77,156.44
  5. Step 5: Solve for x
    x = 77,156.44/344.39
  6. Step 6: Final answer
    x = 224.04

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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.