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Finding the Fourth Proportional to 344.98, 517.08 and 171.77

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Solution

The fourth proportional to 344.98, 517.08 and 171.77 is: 257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.98 : 517.08 = 171.77 : x
  2. Step 2: Convert to fraction form
    344.98/517.08 = 171.77/x
  3. Step 3: Cross multiply
    344.98x = 517.08 × 171.77
  4. Step 4: Simplify right side
    344.98x = 88,817.54
  5. Step 5: Solve for x
    x = 88,817.54/344.98
  6. Step 6: Final answer
    x = 257.46

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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.