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Finding the Fourth Proportional to 237.19, 326.49 and 205.98

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Solution

The fourth proportional to 237.19, 326.49 and 205.98 is: 283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.19 : 326.49 = 205.98 : x
  2. Step 2: Convert to fraction form
    237.19/326.49 = 205.98/x
  3. Step 3: Cross multiply
    237.19x = 326.49 × 205.98
  4. Step 4: Simplify right side
    237.19x = 67,250.41
  5. Step 5: Solve for x
    x = 67,250.41/237.19
  6. Step 6: Final answer
    x = 283.53

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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.