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Finding the Fourth Proportional to 237.68, 354.79 and 205.38

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Solution

The fourth proportional to 237.68, 354.79 and 205.38 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 354.79 = 205.38 : x
  2. Step 2: Convert to fraction form
    237.68/354.79 = 205.38/x
  3. Step 3: Cross multiply
    237.68x = 354.79 × 205.38
  4. Step 4: Simplify right side
    237.68x = 72,867.69
  5. Step 5: Solve for x
    x = 72,867.69/237.68
  6. Step 6: Final answer
    x = 306.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.