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Finding the Fourth Proportional to 343.74, 515.46 and 109.42

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Solution

The fourth proportional to 343.74, 515.46 and 109.42 is: 164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.74 : 515.46 = 109.42 : x
  2. Step 2: Convert to fraction form
    343.74/515.46 = 109.42/x
  3. Step 3: Cross multiply
    343.74x = 515.46 × 109.42
  4. Step 4: Simplify right side
    343.74x = 56,399.80
  5. Step 5: Solve for x
    x = 56,399.80/343.74
  6. Step 6: Final answer
    x = 164.08

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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.