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Finding the Fourth Proportional to 349.70, 482.56 and 194.46

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Solution

The fourth proportional to 349.70, 482.56 and 194.46 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.70 : 482.56 = 194.46 : x
  2. Step 2: Convert to fraction form
    349.70/482.56 = 194.46/x
  3. Step 3: Cross multiply
    349.70x = 482.56 × 194.46
  4. Step 4: Simplify right side
    349.70x = 93,838.62
  5. Step 5: Solve for x
    x = 93,838.62/349.70
  6. Step 6: Final answer
    x = 268.34

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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.