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Finding the Fourth Proportional to 334.46, 461.57 and 194.58

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Solution

The fourth proportional to 334.46, 461.57 and 194.58 is: 268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.46 : 461.57 = 194.58 : x
  2. Step 2: Convert to fraction form
    334.46/461.57 = 194.58/x
  3. Step 3: Cross multiply
    334.46x = 461.57 × 194.58
  4. Step 4: Simplify right side
    334.46x = 89,812.29
  5. Step 5: Solve for x
    x = 89,812.29/334.46
  6. Step 6: Final answer
    x = 268.53

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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.