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Finding the Fourth Proportional to 344.76, 517.34 and 139.42

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Solution

The fourth proportional to 344.76, 517.34 and 139.42 is: 209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.76 : 517.34 = 139.42 : x
  2. Step 2: Convert to fraction form
    344.76/517.34 = 139.42/x
  3. Step 3: Cross multiply
    344.76x = 517.34 × 139.42
  4. Step 4: Simplify right side
    344.76x = 72,127.54
  5. Step 5: Solve for x
    x = 72,127.54/344.76
  6. Step 6: Final answer
    x = 209.21

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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.