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Finding the Fourth Proportional to 237.70, 327.90 and 204.90

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Solution

The fourth proportional to 237.70, 327.90 and 204.90 is: 282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.70 : 327.90 = 204.90 : x
  2. Step 2: Convert to fraction form
    237.70/327.90 = 204.90/x
  3. Step 3: Cross multiply
    237.70x = 327.90 × 204.90
  4. Step 4: Simplify right side
    237.70x = 67,186.25
  5. Step 5: Solve for x
    x = 67,186.25/237.70
  6. Step 6: Final answer
    x = 282.65

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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.