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Finding the Fourth Proportional to 237.27, 357.66 and 196.95

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Solution

The fourth proportional to 237.27, 357.66 and 196.95 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.27 : 357.66 = 196.95 : x
  2. Step 2: Convert to fraction form
    237.27/357.66 = 196.95/x
  3. Step 3: Cross multiply
    237.27x = 357.66 × 196.95
  4. Step 4: Simplify right side
    237.27x = 70,440.47
  5. Step 5: Solve for x
    x = 70,440.47/237.27
  6. Step 6: Final answer
    x = 296.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.