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Finding the Fourth Proportional to 237.68, 327.72 and 220.40

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Solution

The fourth proportional to 237.68, 327.72 and 220.40 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.68 : 327.72 = 220.40 : x
  2. Step 2: Convert to fraction form
    237.68/327.72 = 220.40/x
  3. Step 3: Cross multiply
    237.68x = 327.72 × 220.40
  4. Step 4: Simplify right side
    237.68x = 72,229.49
  5. Step 5: Solve for x
    x = 72,229.49/237.68
  6. Step 6: Final answer
    x = 303.89

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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.