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Finding the Fourth Proportional to 349.25, 482.01 and 194.03

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Solution

The fourth proportional to 349.25, 482.01 and 194.03 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.25 : 482.01 = 194.03 : x
  2. Step 2: Convert to fraction form
    349.25/482.01 = 194.03/x
  3. Step 3: Cross multiply
    349.25x = 482.01 × 194.03
  4. Step 4: Simplify right side
    349.25x = 93,524.40
  5. Step 5: Solve for x
    x = 93,524.40/349.25
  6. Step 6: Final answer
    x = 267.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.