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Finding the Fourth Proportional to 336.05, 463.70 and 194.25

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Solution

The fourth proportional to 336.05, 463.70 and 194.25 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.05 : 463.70 = 194.25 : x
  2. Step 2: Convert to fraction form
    336.05/463.70 = 194.25/x
  3. Step 3: Cross multiply
    336.05x = 463.70 × 194.25
  4. Step 4: Simplify right side
    336.05x = 90,073.73
  5. Step 5: Solve for x
    x = 90,073.73/336.05
  6. Step 6: Final answer
    x = 268.04

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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.