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Finding the Fourth Proportional to 333.96, 461.01 and 194.22

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Solution

The fourth proportional to 333.96, 461.01 and 194.22 is: 268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.96 : 461.01 = 194.22 : x
  2. Step 2: Convert to fraction form
    333.96/461.01 = 194.22/x
  3. Step 3: Cross multiply
    333.96x = 461.01 × 194.22
  4. Step 4: Simplify right side
    333.96x = 89,537.36
  5. Step 5: Solve for x
    x = 89,537.36/333.96
  6. Step 6: Final answer
    x = 268.11

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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.