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Finding the Fourth Proportional to 334.17, 461.14 and 194.29

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Solution

The fourth proportional to 334.17, 461.14 and 194.29 is: 268.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.17 : 461.14 = 194.29 : x
  2. Step 2: Convert to fraction form
    334.17/461.14 = 194.29/x
  3. Step 3: Cross multiply
    334.17x = 461.14 × 194.29
  4. Step 4: Simplify right side
    334.17x = 89,594.89
  5. Step 5: Solve for x
    x = 89,594.89/334.17
  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.