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Finding the Fourth Proportional to 237.82, 327.54 and 205.06

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Solution

The fourth proportional to 237.82, 327.54 and 205.06 is: 282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.82 : 327.54 = 205.06 : x
  2. Step 2: Convert to fraction form
    237.82/327.54 = 205.06/x
  3. Step 3: Cross multiply
    237.82x = 327.54 × 205.06
  4. Step 4: Simplify right side
    237.82x = 67,165.35
  5. Step 5: Solve for x
    x = 67,165.35/237.82
  6. Step 6: Final answer
    x = 282.42

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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.