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Finding the Fourth Proportional to 237.32, 327.49 and 133.82

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Solution

The fourth proportional to 237.32, 327.49 and 133.82 is: 184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.32 : 327.49 = 133.82 : x
  2. Step 2: Convert to fraction form
    237.32/327.49 = 133.82/x
  3. Step 3: Cross multiply
    237.32x = 327.49 × 133.82
  4. Step 4: Simplify right side
    237.32x = 43,823.07
  5. Step 5: Solve for x
    x = 43,823.07/237.32
  6. Step 6: Final answer
    x = 184.66

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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.