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Finding the Fourth Proportional to 237.62, 327.84 and 162.93

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Solution

The fourth proportional to 237.62, 327.84 and 162.93 is: 224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.62 : 327.84 = 162.93 : x
  2. Step 2: Convert to fraction form
    237.62/327.84 = 162.93/x
  3. Step 3: Cross multiply
    237.62x = 327.84 × 162.93
  4. Step 4: Simplify right side
    237.62x = 53,414.97
  5. Step 5: Solve for x
    x = 53,414.97/237.62
  6. Step 6: Final answer
    x = 224.79

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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.