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Finding the Fourth Proportional to 237.36, 353.67 and 224.15

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Solution

The fourth proportional to 237.36, 353.67 and 224.15 is: 333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.36 : 353.67 = 224.15 : x
  2. Step 2: Convert to fraction form
    237.36/353.67 = 224.15/x
  3. Step 3: Cross multiply
    237.36x = 353.67 × 224.15
  4. Step 4: Simplify right side
    237.36x = 79,273.36
  5. Step 5: Solve for x
    x = 79,273.36/237.36
  6. Step 6: Final answer
    x = 333.98

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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.