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Finding the Fourth Proportional to 343.54, 515.11 and 160.98

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Solution

The fourth proportional to 343.54, 515.11 and 160.98 is: 241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 515.11 = 160.98 : x
  2. Step 2: Convert to fraction form
    343.54/515.11 = 160.98/x
  3. Step 3: Cross multiply
    343.54x = 515.11 × 160.98
  4. Step 4: Simplify right side
    343.54x = 82,922.41
  5. Step 5: Solve for x
    x = 82,922.41/343.54
  6. Step 6: Final answer
    x = 241.38

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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.