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Finding the Fourth Proportional to 334.23, 461.06 and 209.66

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Solution

The fourth proportional to 334.23, 461.06 and 209.66 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.23 : 461.06 = 209.66 : x
  2. Step 2: Convert to fraction form
    334.23/461.06 = 209.66/x
  3. Step 3: Cross multiply
    334.23x = 461.06 × 209.66
  4. Step 4: Simplify right side
    334.23x = 96,664.06
  5. Step 5: Solve for x
    x = 96,664.06/334.23
  6. Step 6: Final answer
    x = 289.21

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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.