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Finding the Fourth Proportional to 344.90, 517.34 and 139.46

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Solution

The fourth proportional to 344.90, 517.34 and 139.46 is: 209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.90 : 517.34 = 139.46 : x
  2. Step 2: Convert to fraction form
    344.90/517.34 = 139.46/x
  3. Step 3: Cross multiply
    344.90x = 517.34 × 139.46
  4. Step 4: Simplify right side
    344.90x = 72,149.36
  5. Step 5: Solve for x
    x = 72,149.36/344.90
  6. Step 6: Final answer
    x = 209.19

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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.