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Finding the Fourth Proportional to 237.40, 327.42 and 204.52

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Solution

The fourth proportional to 237.40, 327.42 and 204.52 is: 282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.40 : 327.42 = 204.52 : x
  2. Step 2: Convert to fraction form
    237.40/327.42 = 204.52/x
  3. Step 3: Cross multiply
    237.40x = 327.42 × 204.52
  4. Step 4: Simplify right side
    237.40x = 66,963.94
  5. Step 5: Solve for x
    x = 66,963.94/237.40
  6. Step 6: Final answer
    x = 282.07

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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.