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Finding the Fourth Proportional to 334.65, 461.91 and 203.66

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Solution

The fourth proportional to 334.65, 461.91 and 203.66 is: 281.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.65 : 461.91 = 203.66 : x
  2. Step 2: Convert to fraction form
    334.65/461.91 = 203.66/x
  3. Step 3: Cross multiply
    334.65x = 461.91 × 203.66
  4. Step 4: Simplify right side
    334.65x = 94,072.59
  5. Step 5: Solve for x
    x = 94,072.59/334.65
  6. Step 6: Final answer
    x = 281.11

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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.