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Finding the Fourth Proportional to 237.48, 327.42 and 234.24

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Solution

The fourth proportional to 237.48, 327.42 and 234.24 is: 322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.48 : 327.42 = 234.24 : x
  2. Step 2: Convert to fraction form
    237.48/327.42 = 234.24/x
  3. Step 3: Cross multiply
    237.48x = 327.42 × 234.24
  4. Step 4: Simplify right side
    237.48x = 76,694.86
  5. Step 5: Solve for x
    x = 76,694.86/237.48
  6. Step 6: Final answer
    x = 322.95

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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.