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Finding the Fourth Proportional to 337.50, 465.80 and 204.73

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Solution

The fourth proportional to 337.50, 465.80 and 204.73 is: 282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.50 : 465.80 = 204.73 : x
  2. Step 2: Convert to fraction form
    337.50/465.80 = 204.73/x
  3. Step 3: Cross multiply
    337.50x = 465.80 × 204.73
  4. Step 4: Simplify right side
    337.50x = 95,363.23
  5. Step 5: Solve for x
    x = 95,363.23/337.50
  6. Step 6: Final answer
    x = 282.56

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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.