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Finding the Fourth Proportional to 344.61, 516.92 and 149.59

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Solution

The fourth proportional to 344.61, 516.92 and 149.59 is: 224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.61 : 516.92 = 149.59 : x
  2. Step 2: Convert to fraction form
    344.61/516.92 = 149.59/x
  3. Step 3: Cross multiply
    344.61x = 516.92 × 149.59
  4. Step 4: Simplify right side
    344.61x = 77,323.81
  5. Step 5: Solve for x
    x = 77,323.81/344.61
  6. Step 6: Final answer
    x = 224.38

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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.