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Finding the Fourth Proportional to 237.12, 327.96 and 224.98

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Solution

The fourth proportional to 237.12, 327.96 and 224.98 is: 311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.12 : 327.96 = 224.98 : x
  2. Step 2: Convert to fraction form
    237.12/327.96 = 224.98/x
  3. Step 3: Cross multiply
    237.12x = 327.96 × 224.98
  4. Step 4: Simplify right side
    237.12x = 73,784.44
  5. Step 5: Solve for x
    x = 73,784.44/237.12
  6. Step 6: Final answer
    x = 311.17

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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.