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Finding the Fourth Proportional to 336.10, 463.70 and 196.26

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Solution

The fourth proportional to 336.10, 463.70 and 196.26 is: 270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.10 : 463.70 = 196.26 : x
  2. Step 2: Convert to fraction form
    336.10/463.70 = 196.26/x
  3. Step 3: Cross multiply
    336.10x = 463.70 × 196.26
  4. Step 4: Simplify right side
    336.10x = 91,005.76
  5. Step 5: Solve for x
    x = 91,005.76/336.10
  6. Step 6: Final answer
    x = 270.77

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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.