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Finding the Fourth Proportional to 334.02, 461.25 and 209.90

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Solution

The fourth proportional to 334.02, 461.25 and 209.90 is: 289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.02 : 461.25 = 209.90 : x
  2. Step 2: Convert to fraction form
    334.02/461.25 = 209.90/x
  3. Step 3: Cross multiply
    334.02x = 461.25 × 209.90
  4. Step 4: Simplify right side
    334.02x = 96,814.07
  5. Step 5: Solve for x
    x = 96,814.07/334.02
  6. Step 6: Final answer
    x = 289.85

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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.