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Finding the Fourth Proportional to 237.31, 327.52 and 133.81

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Solution

The fourth proportional to 237.31, 327.52 and 133.81 is: 184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.31 : 327.52 = 133.81 : x
  2. Step 2: Convert to fraction form
    237.31/327.52 = 133.81/x
  3. Step 3: Cross multiply
    237.31x = 327.52 × 133.81
  4. Step 4: Simplify right side
    237.31x = 43,825.45
  5. Step 5: Solve for x
    x = 43,825.45/237.31
  6. Step 6: Final answer
    x = 184.68

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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.