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Finding the Fourth Proportional to 237.57, 327.20 and 204.81

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Solution

The fourth proportional to 237.57, 327.20 and 204.81 is: 282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.57 : 327.20 = 204.81 : x
  2. Step 2: Convert to fraction form
    237.57/327.20 = 204.81/x
  3. Step 3: Cross multiply
    237.57x = 327.20 × 204.81
  4. Step 4: Simplify right side
    237.57x = 67,012.81
  5. Step 5: Solve for x
    x = 67,012.81/237.57
  6. Step 6: Final answer
    x = 282.08

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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.