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Finding the Fourth Proportional to 337.25, 465.41 and 206.24

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Solution

The fourth proportional to 337.25, 465.41 and 206.24 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 465.41 = 206.24 : x
  2. Step 2: Convert to fraction form
    337.25/465.41 = 206.24/x
  3. Step 3: Cross multiply
    337.25x = 465.41 × 206.24
  4. Step 4: Simplify right side
    337.25x = 95,986.16
  5. Step 5: Solve for x
    x = 95,986.16/337.25
  6. Step 6: Final answer
    x = 284.61

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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.