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Finding the Fourth Proportional to 344.69, 517.32 and 149.83

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Solution

The fourth proportional to 344.69, 517.32 and 149.83 is: 224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.69 : 517.32 = 149.83 : x
  2. Step 2: Convert to fraction form
    344.69/517.32 = 149.83/x
  3. Step 3: Cross multiply
    344.69x = 517.32 × 149.83
  4. Step 4: Simplify right side
    344.69x = 77,510.14
  5. Step 5: Solve for x
    x = 77,510.14/344.69
  6. Step 6: Final answer
    x = 224.87

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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.